# There is no function equation for the Fibonacci numbers, you have to use a Recursion formula. F(n) = F(n-1) + F(n-2) for n>2 and F(1)=1, F(2)=1 what is the equation for the fibonacci sequence

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### math

There is no function equation for the Fibonacci numbers, you have to use a Recursion formula. F(n) = F(n-1) + F(n-2) for n>2 and F(1)=1, F(2)=1 what is the equation for the fibonacci sequence

### math

what is the factorial of a negative number? The factorial function has singularities at the negative integers. You can see this as follows. For integers we define: (n+1)! = (n+1)n! and we put 0! = 1 So, from 0! you can compute 1! and from that you can compute 2! etc. etc. So, ...

### Fibonacci numbers

I have three problems to answer dealing with Fibonacci numbers. I understand the first two, but would like for reassurrance that they are correct and lost on the last one and could use some help. Thank you. 1. Fibonacci numbers can not be used more than once. Find sums for ...

### Maths

I have a summation formula for Fibonacci numbers. n (SUM)F(2i)=F(2n+1)-1 i=0 When the i value is changed from zero, and is then subbed into F(2i)the equation will not work. (RHS wont = LHS) eg: i=2 n=3 3 (SUM)F(4)=F(7)-1 i=2 I understand the summation bit, (it =3) But what ...

### Math (fibonacci

A sequence of numbers is called a Fibonacci-type sequence if each number (after for the first two) is the sum of the two numbers which precede it. For example, 1, 1, 2, 3, 5, 8 ... is a Fibonacci- type sequence. If 1985, x, y, 200 are four consecutive terms in a Fibonacci-type...

### Math

Hey can you please explain Fibonacci numbers in the simplest way possible because I really don't get them. Like i know the sequence goes 1,1,2,3,5,8,13,21, etc...But we have to fill in a table by plugging the numbers 1-9 in using the equation Fn+1. Please help me, Thanks

### Fibonacci Numbers

This is not a test question, but I did not know what the appropriate topic for my question is. If I used the terms 2, 3, 4, 8 consecutive terms of the Fibonacci sequence. "a" is the first and fourth terms and "b" is twice the product of the second and third terms. "c" will be ...

### Fibonacci Numbers: Understand one part not another

I understand how to use a calculator to write the decimal point using the golden ratio which is 1.618034 and the conjugate is -.618034. I also know that the relationship between the decimal expansions is that everything to the right of the decimal is the same except one is neg...

### Algebra II

1)What method(s) would you choose to solve the equation: x2 + 2x - 6 = 0 A. Square roots; there is no x-term. B. Quadratic formula, graphing; the equation cannot be factored easily since the numbers are large. C. Factoring; the equation is easily factored. D. Quadratic formula...

### Calculus

I apologize if this question is too much to ask on this site, but I am really confused. Any help would be greatly appreciated. The famous formula shown below is called Euler’s formula, after the Swiss mathematician Leonhard Euler (1707-1783). e^(a + bi) = e^(a)(cos b + i sin...

### Algebra II

Use the equation of the exponential function whose graph passes through the points (0,-2) and (2,-50) to find the value of y when x = -2. I know the formula is y=ab^x but I don't know what numbers to plug in. Any help would be great. Thanks.

### CITY SCHOOL

useing these numbers: 25 - 7 - 8 - 5 - 4 - 3 make an equation so that the answer equals 828,but you can ONLY use those numbers. you cant add any more numbers and you cant repeat any of the numbers. you DON'T have to use all the numbers though

### algebra, help please

Have to make an equation using the numbers 2,3,6,8 and the symbols +,-, and x. Must equal 17 and can't use numbers twice. I can come up with an equation but had to use the 3 twice.

### Calculus

Follow the steps below for the given function. (Do not use mixed numbers in your answers.) 2x + 5y = 1 Solve the equation for y. y = Differentiate this equation with respect to x. y ' = Complete the steps below to implicitly take the derivative of the original equation. 2x + ...

### Algebra 1

I need to find the equation for these function tables (ex. y=2x). Is there a general formula for finding the equation, or do I have to guess each time? 1. (4,3) (6,13) (8,23) 2. (5,22) (6,15) (7,8) 3. (4, 90) (6,82) (8,72)

### math word problems

The sum of two numbers is 69. The second is 9 more than 4 times the first. What are the two numbers? would the equation i have be right 4x+y+9=69 4*15+0+9=69 60+9=69 No. Let the two numbers be x and y, with x the smaller number. x + y = 69 y = 4x + 9 5x + 9 = 69 x = 12 Use any...

### Calculus

I have several problems that I don't know how to do. I will post one now and hope that someone can help me. The problem is: A cylinder made of playing dough with dimensions h=10cm, and r=1cm, is being stretched from both ends. (a) If V is the volume of the dough and during ...

### Math

Write a formula for the general term (the nth term) of the arithmetic sequence shown below. Do not use a recursion formula. Then use the formula for a'n to find a20, the 20th term of the sequence. a'1 = -13, d = -5

### math help please...

1.Explain how to find the equation of the vertical asymptotes of a reciprocal function. 2.The reciprocal of a linear function and a quadratic function have the same horizontal asymptote. What is its equation? 3.Explain how to use end behaviour to find the equation of the ...

### Fibonacci Numbers

I posted the question several days ago and Mathmate helped to guide me along. I am just unsure if I do not understand what he is saying or if I did complete the problem right. I would appreciate any input. 1.618034 - -.618034 = 2.236068/sqrt 5 = 1.00000 I understand how to use...

### Math

Use the quadratic formula to solve the equation. x² - x = -2 Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

### QUADRATIC EQUATION

r^2+8r=48 First bring the 48 to the other side of the equation r^2+8r-48=0 Now you can use the quadratic formula. x=-b+-sqrt(b^2-(4ac)) ¯¯¯¯¯¯¯2a¯¯¯¯¯¯¯¯¯ So... a=1 b=8 c=-48 Now just plug the numbers into the quadratic equation and get your two answers. The ...

### solution of an equation

can someone please give me an example of a solution of an equation An equation is a statment with the equal sign = in it. If we have y=2x+3 and we're asked to find x when y=7 then we would have to solve 7=2x+3 The solution of that equation is x=2. Was there a specific equation...

### Chem

Find the constants (a and b) for O2 in Table 5.7. Use the Van der Waals equation to determine the pressure of 1.000 mole of O2 if the gas occupies 22.50 liters at 27.00 oC. First, find the values for each of the two terms in the equation, then find the difference. Show all ...

### Please answer these questions Algebra 1

16. Use the quadratic formula to solve the equation. 〖5x〗^2 - 47x = 156 18. What are the solutions to the equation x2 – 4x = -1? 19. Graph the set of points. Which model is most appropriate for the set of numbers? (1,3), (0,0), (-3,3), (-1,-1), (-2,0)

### Algebra 2

Use the following equation to perform the operations below (do not graph the equation yet): y ={x + 5}{x + 1}\{(x + 3)(x - 2)}{(x - 4)(x + 1)}) - {1}/{x - 2} What graphical feature occurs at {x} = -1? Use the "trace" function, zoom in on the graph, or look at a table of values...

### algebra

Considering the following equation: 4y + 7x = -23 I have to solve the equation for y, but I can't use mixed numbers in my answer.

### Maths- complex numbers

Find tan(3 theta) in terms of tan theta Use the formula tan (a + b) = (tan a + tan b)/[1 - tan a tan b) in two steps. First, let a = b = theta and get a formula for tan (2 theta). tan (2 theta) = 2 tan theta/[(1 - tan theta)^2] Then write down the equation for tan (2 theta + ...

### PreCal

Write a formula for the general term(the nth term)of the arithmetic sequence. Do not use a recursion formula. Then use the formula for a(n) to find the indicated term of the sequence Find a(11); 12, 10, 8, ... I came up with -10 ?

### calculus

for f(x)=5/8, a. find an equation for the secant line through points where x=4 and x=5.b. find an equation for the line tangent to the curve when x=4. I can solve part a., but I am confused on part b. please help. I don't understand how to plug the numbers into the equation f(...

### Fibonacci Sequence

The sequence < un > is defined by the recurrence Un+1 = 3Un+1\5Un+3 initial condition of u1 = 1: Need to show un in terms of Fibonacci / Lucas numbers

### Chemistry

For the equation give the formula equation, ionic equation, and the net ionic equation after predicting the products and balancing. Using the solubility rules to indicate solid or aqueous each formula. AgNO3 + NaCl

### math

1. Use the given arithmetic sequence to answer the following problems. Arithmetic sequence: 10, 15, 20, 25, 30, …. a. Use the formula to find the 75th Term of the given Arithmetic Sequence I. Formula: II. Work: b. Use the formula to find the nth Term of the given Arithmetic ...

### chemistry

write the balanced formula equation and the net ionic equation for the reaction of sodium hydroxide with hydrochloric acid. Formula equation.............. net equation.............

### Algebra 2

What's the formula given three points to come up with the quadratic equation were your give points (x1, y1 ) (x2, y2) (x3, y3) I remember seeing some really long equation were you just plug the numbers into it and get your answer but I have forgotten the equaiton

### Pre-Cal

Recursive Sequences: find a formula for: 1,1,2,3,5,8,13,21 It looks like the Fibonacci sequence. Take the first two numbers and add them to get the 3rd. take the 2nd and third to get the fourth...etc. yeah, but how would i write that into a formula?

### Math

A function f is defined by the equation f(x)=4x−8. Suppose that the state variables T and Q are related by this function according to the mapping f:Q↦T. Suppose that T=3. Use the equation of the function to find the value of Q.

### composite functions

f(x)=2x-4, g(x)=x squared + 5x What is F o G and Domain Okay, we are given f and g as functions of x. To compose a function means to use one function, g in this case, as the argument of the other, f in this case. Thus we want f o g = f(g(x)) With f(x) = 2x-4 and g(x) = x^2 + ...

### Linear Equation

I posted a question below but forgot to put in the equation! So sorry. The problem states: Find 2 numbers that satisfy the equation then graph it. The equation is 2y+2=0 I think one of the numbers is -1, but what could the other be or am I doing the problem incorrectly? Thanks...

### Pre-calc

Use the given zero to find the remaining zeros of the function: h(x)=x^4-15x^3+55x^2+155x-1476 Zero:5-4i I multiplied [x-(5-4i)][x-(5+4i)] and got x^2-10x+9. The example I have says to divide that by h and get a second quadratic equation that is also a factor of h. I have to ...

### Calculus

Write a formuls for the general term(nth term) of the arithmetic sequence. Do not use a recursion formula. Then use the formula for A to the n to find the indicated term of the sequence find a11: 12, 10, 8,...

### math

I need help with write the equation of the line which contains the point (0,negavtive 3), or written ars(0, -3) and whose slope is 4. if you want the equation in the form y = mx + b sub in -3 for y, 4 for m, and 0 for x for -3 = 4(0) + b so b = -3 equation: y = 4x -3 We could ...

### Math

The equation C=5h+10 represents the cost, C dollars, to rent a bicycle for h numbers of hours. A) write the equation in function notation

### Algebra

Find a linear equation whose graph is the straight line with the given property. HINT [See Example 2.] Through (2, −3) and (1, 1) Which formula do I use? y2-y1/x2-x1 or y-y1=m(x-x1)[<--if i use this how do i plug in the numbers?] Thank you.

### math

I need help with this question. Write the equation of the line which contains the point)0, -3) and whose slope is 4. A general line equation can be written as y = mx + c, where m is the slope and c a constant. so we can write this as y = 4x + c Substituting the point (0, -3) ...

### physics repost

The electricity received at an electric substation has a potential difference of 2.80 x 10^5 V. If the required output is 440 V, what should be the ratio of the turns of the step-down transformer? I know the transformer equation is: Is/Ip = Vp/Vs = Np/Ns "use that equation to ...

### maths equations

could you please help me on this equation r = sx2/2t im really stuck Your non-use of parenthesis makes in difficult to know what the equation is. What are you trying to do with the equation? sorry im trying to make x the subject divide each side by s r/s= x^2 /2t multiply each...

### math

How do I set up the quadratic equation for this problem? 4.0= (2x)^2 / (1.0-x)(1.0-x) I know how to use the formula, but I have a hard time setting those equation to zero. Please explain step by step. Thank you

### algebra

1)What is the distance between the museum and sailing club.I cant post the graph or anything but I have my numbers right its 53 but I used the distance formula so its either 53 units or the square root of 53 units. 2)Write the equation of the parabola y= 4x^2-8x+1 in standard ...

### Adulte Electronic school

s=k ln W * lottery numbers / g!^¥ + ([x:86:23]<€{fn t}) 1-How can I use this formula to get the five lotto numbers for 5/90 2-How can I place the 5 variable numbers (baseline)? 3-What are these values? 4-What compiler can I use to compile this formula?

### AlgebraB-2

A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = 0.04x+ 8.3x + 4.3, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ...

### algebra

Consider the equation y=-2√3x-12 -5 a. Write the equation in function notation, y=af(k(x-c))+d. b. Describe the transformations that have taken place from base the function.

### Math

What are Fractions? Numbers equal to one integer divided by another integer. Integers are whole numbers, like 1, 2, 3 etc. Fractions are numbers like 2/3. These numbers are solutions of equations that don't always have a solution in terms of integers. The equation 2x=4 has the...

### algebra

Solve the quadratic equation: 2x(squared)+6x+12=0 I know you have to find two numbers that =24 (2 times 12) and have a sum of 6. But I can't think of any! Can someone please help? Use the quadratic. And this problem has no real answers, they are imaginary. Oh, the quadratic ...

### Maths

A super-Fibonacci sequence is a list of whole numbers with the property that, from the third term onwards, every term is the sum of all the previous terms. For example, 1, 4, 5, 10, ... How many super-Fibonacci sequences with 1 involve the number 2016? A.1 B.3 C.5 D.7 E.9

### Math

-x^3 + 1.85x^2 - x +0.15 = 0 how can you solve for x? An exact solution or a numerical solution? Exact solutions can be obtained as follows: x^3 - 1.85x^2 + x - 0.15 = 0 First get rid of the quadratic term by substituting: x = (y + 1.85/3) You then obtain an equation of the ...

### math check again please

I have a slope of -3/4 and the y-intercept at 8 the equation looks like: y= -3/4x + 8 can someone tell me if i'm correct when i'm graphing it. the two points that cross in the x axis and y are (0,8) and (10.5,0) am i correct? correct on the formula. correct on the intercepts. ...

### calculus

The graph of a function f is shown. Use the differential equation and the given point to find an equation of the function. dy/dx=4x+(9x^2/(3x^3+1)^(3/2)) and the point (0,2) using the substitution method of integration.

### math, algebra

Problem: A formula for a football player's rushing average r with a total of y yards rushed in n carries of the ball is r=y/n. Solve for n. I have no other information this is how its in the book how do i even solve for n if theres no numbers. You don't use numbers. It asks to...

### Physics

What is the magnitude of the average force required to stop an 1500kig car in 8.0 s if the care is traveling at 95 km/h? Formula: Sigma F= ma *convert 95km/h to 26m/s Which kinematic equation do I use and for which variable do I use within the equation?

### Math(Urgent)

Compute the maximum product for two positive numbers x and y with the property that the sum of the first plus five times the second is 5000. 1) Indicate the objective equation 2) Indicate the constraint equation So the objective = f(x)=xy and the constraint = x+5y=5000 Now ...

### chemistry

Does this equation need to be balanced? AlCO3 => AlO+CO2 Also, how would this equation be balanced? NiCl+O2 => Ni2O3+Cl2O5 Neither equation you have is an equation so they can't be balanced. Do you mean aluminum carbonate. That would have the formula Al2(CO3)2. Aluminum ...

### Math

Could someone help me with this equation? Use the quadratic formula to solve the equation... 2x^2 - x = -10

### Math

1. Find the next number in the pattern. -1, 3, 7, 11 a. 16 b.77 c.15 <------- d.13 2. Name the property of real numbers illustrated by the question. -2(x+4)=-2x-8 a.Associative prop of multiplication b. commutative prop of addition c. distributive prop <--------- d. ...

### MATH

the numbers below are Fibonacci numbers. 1,1,2,3,5,8,13,21,34,55,... write a rule for the pattern. what are the next three numbers?

### Math

What is the first common number among: palindromic numbers, Triangular numbers and Fibonacci numbers?

### math

Use quadratic formula to solve each equation 3k^2+6=6 I get 3/2 but I can't seem to get the other half of the equation such as x=3.7 or .26 etc...

### quadratic formula

2x^2=-8x+10 I got x=-2-1i x=-2+1i But every time I plug the numbers back into the equation I am not getting the sides to equal. Not sure how to use the imaginary i.

### math

I need help solving this equation please. Use the qudratic formula to find any x-intercepton the graph of the equation. Y=3x^2+9-1

### Chemistry(Please help,thank you)

I have to find the calculation of Van't Hoff factor "i" for NaCl and sucrose. The directions say to use the equation delta Tf = kf X m X i and to use Kf for water = -1.86C/m So I have the molality of NaCl and sucrose as well as delta Tf so for NaCl I plugged the numbers into ...

### Calc

Let f be the function that contains the point (-1,8) and satisfies the differential equation dy/dx=10/(x^2+1) (a) Write the equation of the tangent to f at x=-1. (b) Use your equation in part a to estimate f(0). (c) We know that the integral from -1 to 0 of 10/(x^2+1) equals ...

### Math(Please, please help)

Compute the maximum product for two positive numbers x and y with the property that the sum of the first plus five times the second is 5000. 1) Indicate the objective equation 2) Indicate the constraint equation So the objective = f(x)=xy and the constraint = x+5y=5000 Now ...

### bole seniour school

construct flow chart for generating the nth fibonacci serious using two seed numbers read from the user input two seed number lengthe of the fibonacci serious

### Math-Quartic Equation

Reduce this equation using the quadratic formula, factoring, or other algebraic method to determine the other zeros of the function. F(x)= 4x^4 - x^3 - 11x^2 -2x +6

### Math

How can i make nine equations with the numbers 2, 7 and one other number to equal 8. The first equation should have one as the other number, then two and so on up to 9. I can only use a number once for each expression. I can use arithmetic symbols, decimals, exponents and ...

### math

A car rental company charges $280 per week plus $0.18 per mile to rent a car. How many miles can you travel in one week for $433? A) Write an equation you can use to answer this question. Be sure all the numbers given above appear in your equation. Use x as your variable. B...

### lgebra

The sum of three consecutive natural numbers is 963, find the numbers. (A) First, write out an equation that models the relationship between these three numbers: x + ____ +______ = 963 2nd number 3rd number (B) Now, simplify the left side of your equation: ____________ = 963 (...

### Math

Use the quadratic formula to solve each of the following quadratic equations... 1. 2x^2-5x=3 2. 3x^2-2x+1=0 Rearrange the equation in quadratic formula form. 2x^2 -5x -3 = 0 Then use the formula. Tell me what you don't understand about it if you don't know what to do next. I ...

### 8th grade math

Your uncle is three years older than your aunt. The product of their ages is 3190. What are their ages? I know the answer is 55 and 58. But I can't come up with the correct formula or equation to get the answer. I've tried 3(A+3)=3190. It doesn't come up with the right answer ...

### Calc

I have an acceleration function and a velocity function that I know the equations for. How would I use those to find the equation for a position function x(t) if x(0) = 0? I'm just looking for a general method, but I can give the equations if needed.

### Math

This is the same equation as before just with different numbers. y=yo + (vo sin Q) t - 1/2gt^2 This time the numbers are: 0 = 1.005 + (3.021 sin 30)t - 1/2(9.8)t^2 4.9t^2 - 1.5105 - 1.005 = 0 This is the part where I am stuck. Did I do this correctly? sin 30 = 0.50 X 3.021 = 1...

### math

use the quadratic formula to solve this equation. 4x^2-8x+3=5 use the formula x=-b + or - the sqrt of b^2-4ac/2a yes, the 2a divides into all. Memorize it.

### Calc

So I have a particle that is moving along the x-axis. I have the acceleration equation, the velocity equation, and the position equation. I need to know what is the first time when t>0 that the particle returns to the origin? My position function is x(t)=-cost-.5t+1

### Math(Please answer)

This is the same equation as before just with different numbers. y=yo + (vo sin Q) t - 1/2gt^2 This time the numbers are: 0 = 1.005 + (3.021 sin 30)t - 1/2(9.8)t^2 4.9t^2 - 1.5105 - 1.005 = 0 This is the part where I am stuck. Did I do this correctly? sin 30 = 0.50 X 3.021 = 1...

### Math

Compute the maximum product for two positive numbers x and y with the property that the sum of the first plus five times the second is 5000. 1) Indicate the objective equation 2) Indicate the constraint equation 3) Rewrite the objective equation in terms of the variable x only...

### math

find the equation of the line pasiing throught the given point. Use function notation to write the equation. (-2,11)and(1,-4) f(x)

### math

find an equation of the line containing the given pair of points. Use function notation to write the equation. (5/7,10/14) and (-1/7,13/14) f(x)

### Algebra

If I were to make an equation so that the left side were reciprocal function and the right side were an absolute value function then the equation would be guaranteed to have at least one solution. Why?

### Math

If I were to make an equation so that the left side were a reciprocal function and the right side were an absolute value function, then the equation would be guaranteed to have at least one solution. Why?

### Algebra

Thank you Christina.. I am taking Algebra online...something I would never recommend....How would I write the equation of the line passing through (6,37) and (1,12)? the most common way is to use y=mx + b where m is the slope and b is the y-intercept so the first thing you ...

### algebra help, please :)

The output of a function is 24 less than 9times the input write an equation for the function described. b) use your equation to find the input when the output is -10 Could someone help me? Thanks!

### Chem

3Review example 5.7 and exercise 5.7. Suppose there are 2.00 moles of O2 at 1520 mmHg and 27.0 oC. Rearrange the ideal gas law and use it to determine the volume (L) of the gas. Then, find the density by rearranging the equation P(Mm) = dRT. Show all units. I put he numbers in...

### college math 116

Functions are a lot like equations. In a function we look at the relationship of the variables. Does one variable depend on the other. In a function when you see f(x) it just means "y." So we have an equation y = 2x + 3 and a function that is f(x) = 2x + 3. When graphed, they ...

### algebra

1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). Use finite differences to determine the equation of the function. (b) Draw the graph of the function. (c) Draw the inverse on the graph. (d) Show at least two different restrictions to the domain that could be...

### Algebra 1

What is an equation of a line perpendicular to the line with equation y = 1 - 3x a.y=-3x + 5 b. y=3x + 5 c.y=-1/3x + 5 d. y=1/3x + 5 To solve the linear system below, which substitution of unkowns is proper ? x + 4y= -6 5x - 3y = -16 a. substitute -4y-6 for x in the first ...

### Algebra

I have a parabola that I have to write as an equation I found the vertex as (-3,-2) and the following points (-4,-1)(-2,-1),(-5,2),(-1,2). I can't seem to come up with the correct equation. I'm using the formula y=a(h-k)^2+k but I'm not doing something right. Can anyone help me?

### Algebra

Two graph never intersect. As such, the equation has no solutions. Create an equation where the left side is a linear function and the right side is a square root function. Make it so that the equation has exactly one solution.

### Algebra, Solving equations

I'm stuck with this equation: y = (4x-1)/(2x+3) We're working on inverses, which I understand, but my mind is blanking on how to solve this for x. Thanks in advance, Amy :) after you interchanged the x and y variables, and expanded you should have had x = 8y^2 + 10y - 3 ...

### Algebra

'L' has y-intercept (0,-3) and is parallel to the line with equation y=2/3x+1. (Instructions - write the equation of the line 'L' satisfying the given geometric conditions) We know that two lines that are parallel must have the same slope. So this line must have the slope (2/3...