# george entered a function into his calculator andfound the following partail sums s1=0.0016 s2= 0.0096 s3= 0.0496 s4= 0.2496 s5= 1.2496 determine the genral term of the corresponding sequence how would I approach this question?

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### math!

george entered a function into his calculator andfound the following partail sums s1=0.0016 s2= 0.0096 s3= 0.0496 s4= 0.2496 s5= 1.2496 determine the genral term of the corresponding sequence how would I approach this question? If this is a series then sn is the sum of the ...

### algebra1

Which of the following functions represents a geometric sequence? Why? Answer Choices The function f(x)=x7 represents a geometric sequence because each term is raised to the seventh power to make it greater. The function f(x)=7x represents a geometric sequence because each ...

### Math

A sequence is formed by adding together the corresponding terms of a geometric sequence and and an arithmetic sequence.The common ratio of the geometric sequence is 2 and the common difference of the arithmetic sequence is 2.The first term of the new sequence is 1 and the ...

### Math! Help Hurry!

Tasha has foam blocks stored in a box that measures 3 1/4 ft long by 3 ft wide by 1 ft tall. Each foam block is a cube with 1/4 ft edge length. How many blocks can fit into the box? A)156 B)312 C) 624 D) 2496

### Sj

Mathematics......Under number patterns-Geometric series If a question goes.determine the expression for the nth term of the following sequence if the a) 4th term is 24 and the 7th term is 192 in a geometric sequence.what formula do i use here?because i don't have the whole ...

### Maths

1..The first 2 terms of a geometric progression are the same as the first two terms of an arithmetic progression.The first term is 12 and is greater than the second term.The sum of the first 3 terms od the arithmetic progression is 4/3 less than the sum of the first 3 terms of...

### Math

Penn writes a 2013-term arithmetic sequence of positive integers, and Teller writes a different 2013-term arithmetic sequence of integers. Teller's first term is the negative of Penn's first term. Each then finds the sum of terms in his sequence. If their sums are equal, then ...

### Math

Penn writes a 2013-term arithmetic sequence of positive integers, and Teller writes a different 2013-term arithmetic sequence of integers. Teller's first term is the negative of Penn's first term. Each then finds the sum of terms in his sequence. If their sums are equal, then ...

### maths

given 1,0.5,4,o.25,7,0.125,10 assume this pattern continues consistently 1.write down the 33th term in this sequence 2.determine the sum of the first 24 terms in this sequence.give the answer to five decimal place 2.1.in a geometric sequence the fourth term is root of 3 and ...

### MATH

A new sequence is formed by adding together the corresponding terms of a geometric sequence and an arithmetric sequence. the geometric sequence has a common ratio of 3 and the arthmetric sequence has a common difference of -2. The first two terms of the new sequence are 4 and ...

### Maths

The first Arthmatic sequence is 23 and the 12th term is 72. Determine the first three terms in the sequence and the nth term and also Determine the Value of 10th term

### math

1. The table shows the number of wild strawberry plants in a particular forest t years after a forest fire. Use a graphing calculator to find the exponential function that best fits the set of data. Number of Wild Strawberry Plants years | wild strawberry plants 0 34 1 136 2 ...

### Sequence

Find the common difference and a formula formula for the nth term of the arithmetic sequence; 6, 2, -2, -6, -10,...a sub n = a)6-4n b)6-2n c)10-2n d)10-4n I think it is c but want to check. Ao is 10, then each term subtracts 4n from it....n=1, ... well if 6 is equal to the ...

### MATHEMATICS

THE FIFTH TERM OF AN ARITHMETIC SEQUENCE IS 23 AND THE 12TH TERM IS 72.AND THEY SAY DETERMINE THE FIRST THREE TERMS OF THE SEQUENCE AND NTH TERM

### Algebra

I am so lost on these problems. Write a geometric sequence that starts with 3 and has a common ratio of 5. What is the 23rd term in the sequence. Write an arithmetic sequence that has a common difference of 4 and the eighth term is 13. What is the first term? What is the 23rd ...

### maths

The fith term of an arithmetic sequence is 23 and the 21th term is 72 Determine the first three terms of the sequence and the nth term

### Precalculus

1. In an arithmetic sequence, the fifth term, u5, is greater than the first term, u1. The difference between these terms is 36. a) find the common difference 9? The tenth term of the sequence is double the seventh term . b) find u1 2.5? 2. Consider the function f(x) = ax^3 -3x...

### maths

if the second term of an arithmetic sequence is 15 and the fifth term is 24. determine the third and fourth term of the sequence

### PHI103 Informal Logic

If P, then Q, where P and Q are both sentences. P is the antecedent of the conditional—the ‘if’ part—and Q is the consequent—the ‘then’ part. The corresponding conditional of an argument contains the conjunction of the premises in the antecedent and the ...

### mathematics sequence need help

4, 10, 16, 22,... are the A.P obtained from the 1st differences of a Quadratic Sequence with a 1st term of 3. Determine the formula for the sequence & hence its 25th term plz show step

### Quick math help

Find the tenth term of the sequence: -6,1,8... Is it 57? For the sequence:2,4,8,16 the value of s4 is____. Is it 8? Find the 7th term of the sequence: 1,2,4,... Is it 64? Which term of this sequence is 275? 5,10,15,... Is it 1357? Find the 7thterm of an. Arithmetic sequence ...

### Quick Math Help

Find the tenth term of the sequence: -6,1,8... Is it 57? For the sequence:2,4,8,16 the value of s4 is____. Is it 8? Find the 7th term of the sequence: 1,2,4,... Is it 64? Which term of this sequence is 275? 5,10,15,... Is it 1357? Find the 7thterm of an. Arithmetic sequence ...

### Quick math help

Find the tenth term of the sequence: -6,1,8... Is it 57? For the sequence:2,4,8,16 the value of s4 is____. Is it 8? Find the 7th term of the sequence: 1,2,4,... Is it 64? Which term of this sequence is 275? 5,10,15,... Is it 1357? Find the 7thterm of an. Arithmetic sequence ...

### Math

3,5,-5... The first term in the sequence of #'s shown above is 3. Each even # term is 2 more than the previous term and each odd # term, after the first, is -1 times the previous term. For example, the second term is 3+2, and the third term is (-1)x5. What is the 55th term of ...

### math

51.A sequence t is defined where the first term is –4. Each successive term is 3 more than the term before it. (a)Write an explicit formula for the sequence t. (b)A second function is defined as s(n) = 2 + 2n. Compare the rates of change of t(n) and s(n). (c)For what value(s...

### Math

1. Find the 12th term of the arithmetic sequence 2, 6, 10, … . 2. Solve for the 101st term of the sequence whose 1st term is x-y and d=2x+y-3. 3. In the sequence 2, 6, 10, … , what term has a value of 106?

### algebra

the seventh term of a arithmetic sequence is 72 and the tenth term of the sequence is 90. if the sequence is defined by a formula f(n), then find f(2). How would you do this?

### Sequence

In a GP the 3rd term is equal to four times the first term and the sixth term is equal to three times the fourth term plus 32. determine the sequence.

### Calculus

The following table displays the number of HIV diagnoses per year in a particular country. Year 1997 1998 1999 2000 2001 2002 2003 2004 2005 Diagnoses 2512 2343 2230 2113 2178 2495 2496 2538 2518 a) Using Curve Expert or another curve modelling program, determine an equation ...

### calc and vectors

The following table displays the number of HIV diagnoses per year in a particular country. Year 1997 1998 1999 2000 2001 2002 2003 2004 2005 Diagnoses 2512 2343 2230 2113 2178 2495 2496 2538 2518 Using Curve Expert or another curve modelling program, determine an equation that...

### math

Cassandra entered the following problem into her calculator. 8E8 + 1000 what should the calculators output be?

### Mathematics arithmetic sequence

The sum of second and sixth terms of an arithmetic sequence is 4. The third term is 24 more than eleventh term. So determine the first three terms of the sequence.

### math

find the rule for the Nth term of the arithmetic sequence. 11/2, 25/6, 17/6, 3/2, 1/6..... If you change the denomators to 6, you should notice the numerators follow the sequence: 33,25,17,9,1,...which is an arithmetic sequence with a common difference of -8 so term(n) = -8n...

### Algebra

True or False 1. – 5, – 5, – 5, – 5, – 5, … is an arithmetic sequence. 2. In an arithmetic sequence, it is possible that the 13th term is equal to its 53rd term. 3. In an arithmetic sequence, the common difference is computed by subtracting the first term from the ...

### math

Each term in a sequence of numbers, except for the 1st term, is 2 less than the square root of the previous term.If the 3rd term of this sequence is 1, what is the first term?

### Math

The following are the first four terms of a sequence: a, a (1/b),a(1/b(1/b),a(1/b)(1/b)(1/b) where a is a positive integer. Is the eight term positive or negative? explain So the sequence could be seen as {a/b^(n-1): n=1,2,3...} I hope you can see that the sign of each term ...

### MATH

In an arithmetic sequence, the first term is 100 and the sixth term is 85. Find the common difference. Then, find the 50th term of the sequence. Do I use the formula an=a1+(n-1)d? If so, what would my "n" by in the equation?

### Calculus

In increasing order, rank: 3^ln 2, 2^3, 2^ln 3 *do not use a calculator, and explain your choices Obviously, 2^3=8 So, instinctively, I entered the other values into my calculator just to rank the quantities using decimal places. However, in my calculator, 3^ln 2 and 2^ln 3 ...

### maths

The fifth term of an arithmetic sequence is 23 and 12th term is 72. And they say 1. Determine the first three terms of the sequences and the nth term. 2. What is the value of the 10th term. 3. Which term has a value of 268.

### math

the sequence 4;9;x;37;...is a quadratic sequence. a) calculate x. b) determine nth term of the sequence

### Math

The path of a softball is given by the equation y=0.08x^2 + x + 4. The coordinates x and y are measured in feet, with x=0 corresponding to the position from which the ball was thrown. A) Use a graphing utility to graph the trajectory of the softball. B) Move the cursor along ...

### math

The 3rd term in an arithmetic sequence is 12, the 7th term is 24, a) How many common differences are there between a_3 and a_7? b) What is the common difference of the sequence? c) What is the first term in the sequence? a_1 d) What is the expression for this arithmetic sequence?

### stats

A multiple choice test consists of four questions. Each question has five possible answers of which only one is correct. A student guesses on every question. Find the probability distribution of X, the number of questions she answers correctly. A) x P(X = x) 0 0 1 0.2 2 0.04 3...

### My Retyped Algebra Post

1. Use the arithmetic sequence of numbers 2,4,6,8,10.. to find the following: a)What is d, the difference between any consecutive terms? Answer: Show work in this space: b)Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer: Show work in ...

### Math

the second and sixth terms of an arithmetic sequence is 4. the third term is 24more than the 11th term. Determine the first three terms of the sequence

### Math

Alpha writes the infinite arithmetic sequence 10, 8, 6, 4, 2, 0... Beta writes the infinite geometric sequence 9, 6, 4, 8/3, 16/9,... Gamma makes a sequence whose n^th term is the product of the n^th term of Alpha's sequence and the n^th term of Beta's sequence: 10*9,8*6,6*4,4...

### social studies

This one question is about the revolutionary war. What action finalized the colonies independence from great britian? A. a mutuat agreement with parlament B. a vote in the continenal congress C. an order of Genral George Washington D. a royal decree from kind George the 3rd. I...

### arithmetic

Write the nth term of the following sequence in terms of the first term of the sequence. 10, 20, 40, . . .

### maths

consider the arithmetic sequence which has the second term equal to 8 and the fifth term equal to 10 2.1.1 determine the common difference of this sequence

### math

looking at a number sequence, I am being asked what the 9th term in the sequence is. I would like to know the definition of the word "term".

### math

first term of the arithmetic sequence is 13. two other terms of the sequence are 37 and 73. common difference is consecutive terms integers. determine all possible values for 100th term.

### Arithmetic Sequence

Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term is two times the fifth term. Find the common difference and the first term.

### math ( sequence )

A sequence is generated in which each term is 5 less than the previous term. If the twentieth term is -32, what is the fifteenth term ? a. -57 b. -12 c. -7 d. 2 e. 7 please answer and explain

### math+ check!

the following sequence is geometric: 4/3, 4/9, 4/27.... determine the general term, tn and the term t10 so the general term is: (4/3)x (1/3) ^n so the tenth term is: 4/177147 is this correct? thanks! You have one too many factors of three in the denominator. a = 4/3, r=1/3 so ...

### Mathematics : Arithmetic Sequence

The 5th term and the 8th term of an arithmetic sequence are 18 and 27 respctively. a)Find the 1st term and the common difference of the arithmetic sequence. b)Find the general term of the arithmetic sequence.

### math

in an arithmetic sequence the common difference is equal to 2.the first term is also the first term of a geometric sequence. the sum of the first 3 terms of an arithmetic sequence and the sum of the first 9 terms of an arithmetic sequence form the 2nd and 3rd terms of a ...

### math

the third term of a geometric sequence is t3= -75 and the sixth term is t6= 9375. determine the first term and the common ratio

### maths

the third term of a geometric sequence is 6 and the sixth term is 3 over 32. Determine the first terms and the general term Tn?

### geometry

The third term of a geomatrie sequence is 6 and the sixth term is 3/32.determine the fist three terms and the general term Tn

### arithmetic sequence

the 40th term of an arithmetic sequence is equal to the sum of the 20th and 31st term. if the common difference of the sequence is-10. find the first term.

### maths

The fifth term of an arithmetic sequence is 23 and the 12th term is 72. And they say first question 1.determine the first three terms of the sequences and the nth term. 2.what is the value of the 10th term. 3. Which term has a value of 268.

### Math for Educators

The first difference of a sequence is 8, 12, 16, 20,... The sum of the first two terms of the original sequence is 14. Find the first three terms of the original sequence. The first term of the original sequence is? 4 What is the second term of the original sequence? 8 What is...

### pre-calculus 11

I have the question what is the equation of the function in the form f(x) = 1/x-c for the function with a vertical asymptote at x=1? sketch the graph. I am uncertain how I plug this into a graphing calculator. Could I substitute 1 for x and then put an x in for c to input this...

### Math 12

sum of 2nd and 5th terms of a geometric sequence is 13. the sum of the 3rd and 6th is -39. determine: a) the ratio "r" of the sequence b) the first term "a" of the sequence

### maths science and geography

in a geometric sequence,the fifth term is four times the third term,and the second term is 4.if r<0 determine the value of r,the common ratio

### math

the ninth term of an arithmetic sequence is 23 and the 33rd term of the sequence is -241 , calculate the sume of the first 15 terms of the sequence , using the formula s=n(2a+(n-1)d)/2

### 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 example, starting with ...

### Maths

The first term of an arithmetic sequence is 2. The first, third and eleventh terms are the first three terms of a geometric sequence. Determine the seventh term of the geometric sequence

### Urgent math

how do I do this can any body show me how? An arithmetic sequence begins 4, 9, 14, 19, 24, . . . . (a) Find the common difference d for this sequence. d = (b) Find a formula for the nth term an of the sequence. an = (c) Find the 35th term of the sequence. a35 =

### biology

I have been given a DNA nucleotide sequence and have established the equivalent mRNA sequence.I have then been given 2 mutations and I have worked out the new mRNA sequence but I have to suggest why it may change the function of the new protein. The new sequence is AUA AGC UUU...

### Math

1. What is the tenth term of the geometric sequence whose first term (a1) is 16 and the common ratio (r) is –½? 2. Given the terms a10 = 3 / 512 and a15 = 3 / 16384 of a geometric sequence, find the exact value of the first term of the sequence.

### math

!_,_,_,9,730,_,... terms in the sequence above are created such that each term after the first term is 1 more than the cube of the perceding term. what is the value of the first term in the sequence??

### Algebra I

What is the 2011th term of the arithmetic sequence −4, −1, 2, 5, . . . , where each term after the first is 3 more than the preceding term?( remember -4 is the first term of the sequence.) (I posted this before but it was the wrong answer)

### math30

Sequences 1)A sequence has a first term of 24 and every other term is one half of the previous term. a)Write the first four terms of the sequence. b)Find a recursive formula that defines this sequence. c)Find an explicit formula that defines this sequence. This will be ...

### Math

make a table of values for the sequence 6,11,16,21,26 b) write an algebraic expression for the general term of the sequence. c) Use ur expression for the general term to calculate the 25th term in the sequence. Please help asap

### History

1. Which of the following did George Washington do during his presidency? -established a cabinet of advisers** -limited himself to one term in office -offered military support in foreign wars -served ties with Great Britain 2. What precedent did George Washington set by ...

### mathematics

THE 1ST, 3RD AND 9TH TERM OF A LINEAR SEQUENCE A.P ARE THE 1ST THREE TIMES OF G.P. IF THE 7TH TERM OF THE LINEAR SEQUENCE IS 14. CALCULATE (A) 20TH TERM OF THE LINEAR SEQUENCE (B) SUM OF THE 1ST, 12TH TERM OF THE G.P

### math

still need help: Write an arithmetic sequence that has a common difference of 4 and the eighth term is 13. What is the first term? What is the 23rd term in the sequence

### Math

An arithmetic sequence has a first term of 0 and a 10th term of 15. If 10 is an output of the sequence, which term number is it? Show and explain how you know you have the correct answer.

### algebra 2

What is the 20th term of the sequence that begins -3,6,-12,24? A. 524,288 B 524,288 C. 1,572,864 d. 3,145,728 The term in a geometric sequence is 160. the 7th term is 40. What are the possible values of the 6th term of the sequence? You roll a standard, six sided number cube. ...

### math Question

the 5th term in a geometric sequence is 160. The 7th term is 40. What are the possible values of the 6th term of the sequence +70 70 +80 80

### Math

For each function, i) determine the corresponding reciprocal function, y =1/f(x) ii) state the non-permissible values of x and the equation(s) of the vertical asymptote(s) of the reciprocal function iii) determine the x-intercepts and the y-intercept of the reciprocal function...

### mathematis

consider the arithmetic sequence:-4;-1;2;5...if the nth term of the sequence is 74 determine the value of n

### math help

4,9,x,37 is a quadratic sequence (a)show that x=20 (b)determine the nth term of the sequence thanks in advance

### math

The area of a plot of land is 2496 square meters. A small part of the land is fenced. The ratio of the area of the plot of land to the area that is not fenced is 48:31. What is the area of the land that is not fenced? (5th grade math)

### trig

Is this formula continous on the interval (-1,1) h(theta)=(theta)sin(theta) How do you enter theta into the calculator to graph the function. Also, am I suppose to plug in the numbers into the function to determine if it is continous

### algebra

the first term of a sequence of numbers is 1. if each term after the first is the product of -2 and the preceding term, what is the 6th term of the sequence? How do I approach this problem?

### Math

A sequence is given by Un=a(1-2n).determine the first 3 term of sequence

### math

The sum of the first 10 term of an arithmetic sequence is 145 and the sum of the fourth and ninth term is five times the third term. Determine the first term and constant difference.

### math

hi if the second term of a sequence is root(2) and the seventh term is 8 what is the nth term equation(Geometric sequence) thanks

### MaTh

The 23rd term in a certain geometric sequence is 16 and the 28th term in the sequence is 24. What is the 43rd term? What is the answer?

### Riemann Sums

Use the Riemann Sums corresponding to 5 inscribed rectangles of equal width to approximate the integral a= 1, b= 3, (1/x)dx this is all for definite integral i just know x1=1.4, x2=1.8, x3=2.2, x4=2.6, x5=3.0 how do i continue

### Math

The first term in a sequence is 4 and each of the following terms is found by multiplying the previous term by n. What is the fifteenth term? Is the answer 4n(15)?

### mathematics

6. In a GP the 3rd term is equal to four times the first term and the sixth term is equal to three times the fourth term plus 32. Determine the sequence.

### PreCalc

1) Determine the value of r (put this number in the first blank) and then determine the value of the 10th term of the geometric sequence. Do not use any decimals or mixed numbers in your answers. Reduce all fractions to lowest terms. a1 = 2 and a4 = −1/4 2)Find d and ...

### mathematics

evng .my teacher gave me this as a homework but i dnt undertand. 1.In a GP the 3rd term is equal to four times the first term and the sixth term is equal to three times the fourth term plus 32. Determine the sequence.

### math

the first term of a sequence of numbers is 4. each term after the first is 4 more than half the preceding term, what is the fourth term of the sequence?

### Math

What is the 2011th term of the arithmetic sequence -4,-1,2,5...., where each term after the first is 3 more than the preceding term? (Remeber -4 is the first term of the sequence)

### Algebra I

What is the 2011th term of the arithmetic sequence −4, −1, 2, 5, . . . , where each term after the first is 3 more than the preceding term?( remember -4 is the first term of the sequence.)