1. 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
  2. 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
  3. Pre-Calc

    Find three examples of the Fibonacci sequence in nature. Write a paragraph for each example. For each example, address the following questions: How does the example relate to the Fibonacci sequence? What portions of each item or situation display the
  4. 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
  5. 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
  6. 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
  7. Sequences

    Like the Fibonacci sequence, a certain sequence satisfies the recurrence relation an=an−1+an−2. Unlike the Fibonacci sequence, however, the first two terms are a1=4 and a2=1. Find a32.
  8. Fibonacci sequence

    The Fibonacci sequence a1=1,a2=1,a3=2,a4=3,a5=5,a6=8… is defined recursively using the formulas a1=a2=1 and an+2=an+an+1 for all n≥1. Find the greatest common divisor of a484 and a2013.
  9. Maths

    The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, ... starts with two 1s, and each term afterwards is the sum of its two predecessors. Which one of the ten digits is the last to appear in the units position of a number in the Fibonacci sequence?
  10. Computer Science - MATLAB

    One interesting property of a Fibonacci sequence is that the ratio of the values of adjacent members of the sequence approach a number called “the golden ratio” or PHI. Create a program that accepts the first two numbers of a Fibonacci sequence as a
  11. Computer Science - MATLAB

    I guess it was skipped One interesting property of a Fibonacci sequence is that the ratio of the values of adjacent members of the sequence approach a number called “the golden ratio” or PHI. Create a program that accepts the first two numbers of a
  12. Math

    F25= 75,025 and F26= 121,393 where Fn is the nth term in the Fibonacci sequence. Find F27. I do not understand the Fibonacci sequence, could someone help me with my question and explain it to me please.
  13. 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
  14. 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
  15. math project...PLEASE HELP...

    I am doing a math project on Leonardo Fibonacci, the creator of the Fibonacci's Sequence. I was wondering if someone could please tell me a website where I could get more information about his marriage. can someone help me?
  16. maths! please help me it is an emergency!!!!!!!!!!

    what is the fibonacci sequence and what is its relationship to the golden ratio? http://www.google.com/search?q=fibonacci+golden+ratio&start=0&ie=utf-8&oe=utf-8&client=firefox-a&rls=org.mozilla:en-US:official Many websites here that can help you --
  17. 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?
  18. Colelge Math (Fibonacci)

    "Start with a pair of rabbits, (one male and one female) born on January 1. Assume that all months are of equal length and that : 1. rabbits begin to produce young two months after their own birth; 2. after reaching the age of two months, each pair
  19. 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
  20. Math

    I cannot solve this pattern! 1,1,4,3,9,6,16,10,25,15 HINT: two different patterns are intertwined BIGGER HINT: only look at every other number This is a conjured up sequence not identifiable by any recursion formula. The first sequnece is 1 4 9 16 25 36
  21. Math

    1) Describe the relationships you discovered in the Fibonacci sequences. 2) what strategies did you use to search for relationships. 3)how many examples of a relationship do you need to check before you start to believe that the relationship might be true
  22. Math

    In the first sixteen terms of the Fibonacci sequence, which ones are even numbers?
  23. Math

    How would I solve this part of the Fibonacci sequence piecewise function? f(n) = f(n-1)+f(n-2) if n > 1. Thanks
  24. 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,
  25. Math

    How many digits are in the smallest positive number divisible by th first ten numbers in the Fibonacci sequence?
  26. math

    The Fibonacci sequence of numbers begins 1,1,2,3,5,8,13,21,34,55,…and continues by the rule: every number is the sum of the two previous numbers. a. Determine the next five (eleventh through fifteenth) elements of this sequence. b. Compute the ratio of
  27. Math

    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
  28. sequence

    give the general term of the sequence 1,2,3,5,10,15,25,... Type "integer sequences" in google: Fibonacci numbers written in base 8: 1, 2, 3, 5, 10, 15, 25, 42, 67, 131, 220, 351, 571, 1142, 1733, 3075, 5030, 10125, 15155, 25302, 42457, 67761, 132440,
  29. 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
  30. 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
  31. MATH HELP

    What number comes next in the Fibonacci sequence: 0, 1, 1, 2, 3, 5 A)5 B)7 C)8 D)13 IS it b or c
  32. math/algebra

    what is the fibonacci sequence???
  33. Math *URGENT

    Please give the answers and solutions for each. 1.If the second term is 2 and the seventh term of a geometric sequence is 64, find the 12th term. 2. Which term if the geometric sequence 18,54,162,486,... is 3,188,646? 3. Determine the geometric mean of 8
  34. Math

    Hello, I can't find a pattern to answer this question, can you help? The beginning of the fibonacci number sequence is listed below: 1,1,2,3,5,8,13,...... What is the smallest term in the sequence which has a value greater than 100?
  35. 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
  36. MAth

    1.Simplify 3x 3 ___ divided by ____ 4 4 2.Describe the Fibonacci Sequence.
  37. math

    Determine whether the sequence is a Fibonacci-type sequence. If it is, determine the next two terms of the sequence. -4, 5, 1, -3, -2
  38. Math

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

    F 25 = 75,025 and F 26 = 121,393 where Fn is the nth term in the Fibonacci sequence. Find F27.
  40. Math

    prove f_{2n+1} = f_{n+1}^2 + f_n^2 Where f is the fibonacci sequence (so f_1=1, f_2=1, f_3=2, f_4=3, f_5=5, etc)
  41. Math

    How many of the first 1001 Fibonacci numbers are divisible by 3?
  42. math

    how many of the first 999 fibonacci numbers are odd?
  43. math

    I understand the Fibonacci Sequence (the simplified version). But how is it applied to real life? Please give at least two examples. Thanks
  44. 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?
  45. Ficonacci puzzles

    Take any Three consecutive fibonacci numbers: multiply the outer Two numbers, Squre the inner one. Do this At Least 6 times. What conjecture can you make?
  46. math

    F25 = 75,025 and F26 = 121,393 where Fn is the nth term in the Fibonacci sequence. Find F27.
  47. elementary math for teachers

    F25 = 75,025 and F26 = 121,393 where Fn is the nth term in the Fibonacci sequence. Find F27.
  48. 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
  49. 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
  50. Algebra 2

    The sequence is defined by a recursion formula. Write the first four terms of the sequence; a_1=0; a_n=5a_n-1 +7
  51. Algebra 2

    The sequence is defined by a recursion formula. Write the first four terms of the sequence: a_1=9; a_n=3a_n-1
  52. Algebra 2

    The sequence is defined by a recursion formula, write the first four terms of the sequence; a_1=100; a_n=1/2a_n-1 +4
  53. Geometry

    Using your calculateor, look at the successive ratios (of the Fibonacci sequence) of one term to the next. Make a conjecture. I don't exactly get what the questions asking. I tried listing the ratios, but I really didn't see any pattern. Thanks in advance.
  54. Math

    Hi, I have to write a 2 page paper on any subject in math that interests me. It can be about topics such as fibonacci numbers, rational or irrational numbers, golden ratio/rectangle, platonic solids, probability, etc. Can you help me get started. Thanks :)
  55. 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 ?
  56. math

    How many of the first 1001 Fibonacci numbers are divisible by 3? I know the correct answer is 250....... but i need solution of how it comes out to be 250........ kindly hellp me sooooooooooon
  57. Fibonacci Numbers

    I need to find f24. I know F23=28657 and f25=75025. I have figured out that F24 is 46368 using F(n)=F(n-1)+F(n-2). My problme is asking me for two values of n for which Fn=n. I do not understand what it is asking.
  58. 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,...
  59. Geometry

    Fibonacci sequnce has this pattern: 1,1,2,3,5,8,13,21,34,55,...... each number is achieved by adding the previous number to the current number (1+1=2, 2+1=3, 3+2=5,....) List the first eight terms of the sequence formed by finding the differences of
  60. math

    Fibonacci sequnce has this pattern: 1,1,2,3,5,8,13,21,34,55,...... each number is achieved by adding the previous number to the current number (1+1=2, 2+1=3, 3+2=5,....) List the first eight terms of the sequence formed by finding the differences of
  61. Math

    Write the first four terms of the sequence defined by the recursion formula. a1 = 6 and an = 3an-1 for n ≥ 2
  62. 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)
  63. Algebra 2

    The sequence is defined by a recursion formula.Write the first four terms; a_1=-5; a_n=2a_n-1 +7
  64. programming ( qbasic)

    rem prints fibonacci series cls a=2 b=1 for p = 1 to 5 print a print b a=a + b b=b + a next p end I have done this program. How do you do it using modular programming.. FUNCTION...END FUNCTION???? I tried but it didn't work
  65. math

    what are the similarities and differences between an arithmetic sequence and a linear equation? ok i know that arithmetic sequence is a sequence of real numbers for which each term is the previous term plus a constant (called the common difference). For
  66. Math

    Is Fibonacci the only pattern found in nature?
  67. Algebra

    Write a function rule to represent the sequence. 0.3, 0.9, 1.5, 2.1,... A(n) = 0.6 + (n - 1)0.3 A(n) = 0.6 - (n)0.3 A(n) = 0.3 + (n - 1)0.6 A(n) = 0.3 + (n + 1)0.6 Write a function rule to represent the sequence. 47, 32, 17, 2,... A(n) = 47 + (n - 1)15
  68. Computer

    How to write an algorithm to find the fibonacci series ??? Help:/
  69. math

    Find the sum of all primes p, such that p divides up, where up is the p-th Fibonacci number.
  70. Algebra 1 Honors

    Write an equation for the nth term of the arithmetic sequence. Then graph the first five terms in the Sequence. -3,-8,-13,-18 I got 5n-8 as my formula. Then plugged 5 in for n and got 17 for the 5th number in the sequence. Is this correct?
  71. math

    Find the sum of all primes p, such that p divides up, where up is the p- th Fibonacci number. please tell me the answer it's urgent about this..///
  72. Maths

    Hey my question is How do we get the triangular numbers sequence ( general statement ) by the quadratic formula ? Can you shoe me steps please ? The triangle numbers are : 1 , 3 , 6 , 10 , 15 how do I get them in the form of a quadratic equation if a , b
  73. urgent...maths

    Find the sum of all primes p, such that p divides u(p), where u(p) is the p-th Fibonacci number. this iss very urgentt...
  74. math:quick help

    Let Fn be the nth number in the Fibonacci Sequence. Consider the 3 points (F30,F31),(F32,F33),(F34,F35) in the Cartesian plane. You are allowed to repeatedly apply the following operation: Let P be any one of the three points in the plane and let Q,R be
  75. Math PLEASE HELP PLEASE PLEASE PLEASE

    Question 1 Write the first four terms of the sequence whose general term is given. an = 3n - 1 Answer 2, 3, 4, 5 2, 5, 8, 11 -2, -5, -8, -11 4, 7, 10, 13 3 points Question 2 Write the first four terms of the sequence whose general term is given. an = 2(2n
  76. Math

    Question 1 Write the first four terms of the sequence whose general term is given. an = 3n - 1 Answer 2, 3, 4, 5 2, 5, 8, 11 -2, -5, -8, -11 4, 7, 10, 13 3 points Question 2 Write the first four terms of the sequence whose general term is given. an = 2(2n
  77. math- HELP!

    The Fibonacci sequence was first discovered during a study of rabbits. If newborn rabbits become adults in one month, each pair of adult rabbits produces one pair each month, and no rabbits die, then how many pairs of rabbits would be produced after seven
  78. Math

    an = 3n - 1 Answer 2, 3, 4, 5 2, 5, 8, 11 -2, -5, -8, -11 4, 7, 10, 13 3 points Question 2 Write the first four terms of the sequence whose general term is given. an = 2(2n - 3) Answer -6, -2, 2, 6 -1, 1, 3, 5 -2, -4, -6, -8 -2, 2, 6, 10 3 points Question
  79. Math

    Please help me with my midterm review my teacher was out sick today and idk how much longer she will be but my midterms Thursday. She only helps people who she has seen done there midterm review and gotten over half of it right so can any of you please
  80. 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.
  81. Fibonacci numbers

    I have been working on this question all day and can not figure out what to do. The question says according to the Quadratic Formula, the solutions of x^2-x-1=0 I know the positive solution is the golden rule ratio and the negative solution is the
  82. 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
  83. 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.
  84. 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
  85. PRECALC

    A drug is administered every 6 hours. The kidneys eliminate 55% of the drug over that period. The initial dose is 210 mg. Repeated dosage is 70 mg What is the “Difference equation”? Find the first seven terms of the of the solution sequence. Round to
  86. Math

    Using the numbers 4, 9, 36 ... What is the sequence that I would put these numbers in to solve the equation ? - ? : ? Equals zero
  87. 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
  88. chemistry

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

    A drug is administered every 6 hours. The kidneys eliminate 55% of the drug over that period. The initial dose is 210 mg. Repeated dosage is 70 mg What is the “Difference equation”? Find the first seven terms of the of the solution sequence. Round to
  90. Pre-Calculus

    A drug is administered every 6 hours. The kidneys eliminate 55% of the drug over that period. The initial dose is 210 mg. Repeated dosage is 70 mg What is the “Difference equation”? Find the first seven terms of the of the solution sequence. Round to
  91. 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)
  92. 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
  93. 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
  94. Algebra

    I am stuck, pleas help, i have the example but I am still not able to figure it out... Find the value of X...5/x+6+2/x^2+7x+6=3/X+1 Find the value of X...2/5=x-2/20 First, get the X terms on one side of the equation and the numbers on the other. 2/5=X-2/20
  95. Algebra

    Please help to find x, y 1. 8x-y=17 6x+y=11 2. 5x-2y=17 2x+3y=3 Question no.1 8x-y=17 6x+y=11 (adding the equation) __________ (-y and +y will be 0) 14x =28 Taking variables to one side x=28 __ 14 14*2=28 therefore x=2 substitute this value of x in
  96. 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
  97. 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:
  98. 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
  99. math,help

    Is it the same thing : fibonacci math and the golden mean? for one i know that this type of math deals with sequences but can someone explian to me briefly the differnces and similarities. http://en.wikipedia.org/wiki/Golden_ratio
  100. sequence

    defining function is f(x) = 3x+b. If 27 is a member of this sequence, what is the next consecutive member of this sequence? PLEEEEAAAASEEE HELLLLP meeee f(x)=3x+b f(x+1)= 3x + 3 + b so there is a difference of 3 between numbers. Next number is 27 + 3