Tony has begun to save money to buy a new video game. At the end of the first week, he has $8 in his savings. At the end of the second week he has $11 in savings, and after the third week he has $14. Tony feels confident that he can continue this same pattern of saving money to buy the game. Which function describes the sequence? A f (x) = 3x + 5 f (x) = 3x + 8 f (x) = 5x +3 C f (x) = 8x + 3 OO OO

Q: Find the 23rd term of the arithmetic sequence whose common difference is d =5 and whose first term…

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Q: The sequence

A: We use ratio test to prove convergence or divergence here.

Q: Write an equation for the nth term of the geometric sequence 0.6, - 3, 15, - 75, .. Then find a6.…

A: We need to solve geometric sequence.

Q: Use an=a1+(n-1)d and gn=g1re-1 to find: the 19th term of the geometric sequence -2, -6, -18, -54 .…

A: Here the given series is a geometric progression. So to find any term in the series we use formula…

Q: Find the first 3 terms of arithmetic sequence, if t,= 134 %3D and t. = 199. 12

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Q: . For the function an = 3-1, what are the first 6 terms? 2¹2-3 - Write the first four terms of a…

A: The details solution is given below

Q: Algebraically solve for x & y if the sequence below is arithmetic. (work must be shown) 1. y, 2x +…

A: To find x and y if the sequence is arithmetic sequence

Q: Find the nth term of the geometric sequence whose initial term is a1 = 7.5 and common ratio is 8.…

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Q: Find the common difference d and the nth term an of the arithmetic sequence

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Q: Find x so that 4x, 5x - 3, and 7x - 1 are consecutive terms of an arithmetic sequence.

A: For the arithmetic sequence difference between terms should be same Hence  (5x - 3) - 4x = (7x - 1)…

Q: Use a system of two equations in two variables, a1 and d, to:Write a formula for the general term…

A: To Determine: Use a system of two equations in two variables, a1 and d, to:Write a formula for the…

Q: Given the first three terms of an arithmetic progression as 2x, x + 4 and 2x – 6 respectively. Find…

A: Hi there, we can answer only one question at a time and you was not specify. so, I have answered…

Q: Write the first six terms of the sequence beginning with the given term. Then calculate the first…

A: Solution: The objective is to find the first six terms of the sequence

Q: Find the 16"" term of the arithmetic sequence whose common difference is d= 8 and whose first term…

A: The first term of the arithmetic sequence is 2 and common difference is 8. To find the 16th term of…

Q: Find a formula for the sequence

A: In this question, we have to solve the third-order difference equation in general form and then…

Q: Find the seventh term of the geometric sequence whose second and third terms are 2 and -√2.

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Q: Solve for x & y if the given sequence is arithmetic Зх + 6у, 4у, 7х + 2, 2х — 3у

A: Explanation of the answer is as follows

Q: Which of the following is the value of x to make x + 1, 4x – 7, 2x + 5,… an arithmetic sequence.

A: We will find the value of x for which the given sequence will be  an arithmetic sequence as…

Q: 2x3 2. Find the curve whose slope at the point (x,y) is - if the 7. curve is required to pass…

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Q: Write the second term of the sequence.an = 5n - 6______

A: Write the second term of the sequence.an = 5n - 6______

Q: Find the 20th term of the sequence s, = (-1)"(n + 1).

A: Givensn=(-1)n(n+1)

Q: Given the recursive equation below, write the next five terms of the sequence. f(0) = – 3; f(n) =…

A: We can solve this as follows:

Q: Find the infinite sum of the geometric sequence with a=4,r=28a=4,r=28 if it exists. S∞=

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Q: Write the first four terms of sequence whose general term is given.

A: Given: an=-1n+12n+1 For finding first four terms of given sequence, we put n=1,2,3 and 4 in given…

Q: Find the 7th term of the geometric sequence where a1 = -2 and r = -2.

A: To Find the 7thterm of the geometric sequence where a1 = -2 and r = -2.

Q: Find a general term (as a function of the variable n) for the sequence…

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Q: Use a system of two equations in two variables, a1 and d, to:Write a formula for the general term…

A: an=a1+(n-1)d

Q: Write the first four terms of sequence whose general term is given.

A: Substitution of the values into the given general form of the sequence helps to find the required…

Q: Find the 16th term of the arithmetic sequence whose common difference is d=9 and whose first term is…

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Q: Q2. Find the nth term of each of quadratic sequences

A: The quadratic equation has the standard form of y=ax2+bx+c. The data satisfying the quadratic model…

Q: A student studying to be a veterinarian's assistant keeps track of a kitten's weight each week for a…

A: a) The weights are 0.6 , 0.88, 1.16 , 1.44 , 1.72 common difference between them is = 0.88-0.6= 1.16…

Q: Write the second term of the sequence.

A: an=(-1)n4n-1

Q: Find the 9th term of the geometric sequence. 2, -6, 18, -54, ...

A: As per guidelines we can solve only one question at a time, So if you need more answers kindly…

Q: Write the terms of the given sequence and then graph the sequence f(0) = 16 f(n) = 0.5f * (n - 1) ,…

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Q: Write the first five terms of the geometric sequence. a 1 =  -5; r = -3

A: We can find the first five terms as below.

Q: Find the 10th term of the arithmetic sequence whose first term is 5000 and the common difference is…

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Q: Find the 13th term of the arithmetic sequence whose common difference is d = 8 and whose first term…

A: Our objective is to find the 13th term of AP

Q: {(-1)"(2n + 1)}

A: To Graph: The given sequence:-1n2n+1

Q: The nth term of the sequence -2,0-2,0 -2,0, is ... Select one: a. (-1)".2-2 O b. (-1)" +1.2-2 O c.…

A: Consider the sequence-2,0,-2,0,-2,0,............

Q: Find the 15th term of the arithmetic sequence whose common difference is d = 7 and whose first term…

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Q: Write the first three terms of the sequence defined by the recursive formula. a₁ = 5 an = -2an-1 +…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Write the terms of the given sequence and then graph the sequence . f(n) = 2 * 2 ^ n, n >= 0

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Q: write the first five terms of the geometric sequence. a-2 rニ

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Q: Write the terms of the given sequence and then graph the sequence. f(n) = 3f * (n - 1), n >= 2 f(1)…

A: Answer

Q: Which function describes the arithmetic sequence shown? 7,9, 11, 13, 15, 17,.. ) A) f(x) = 2x - 5 B)…

A: Given an arithmetic sequence, 7,9,11,13,15,17,............

Q: find x so that the numbers 4x-1,2x+2, and 2x-3 form an arithmetic sequence.

A:

Q: Write the first five terms of the geometric sequence. a1 = 25, r= -

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Q: Determine the general form for the arithmetic sequence whose 5th term is 10 and consecutive terms…

A: the fifth term is 10  the common difference d=-4 the general term of the Arithmetic series is given…

Q: write the first term of the geometric sequence A1=2x r=1/x n=4

A: The nth term of a geometric sequence is an=a.rn-1

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.