Use iteration to find a closed formula for the sequences below. Simplify your answer whenever possible. a.) Let (a_n)be the sequence defined by the recursive relation a_n=3a_(n−1)+4, with initial term a0=3

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Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

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Q: Express the sum 3 + 5 + 7+ ... + (2k-1) using E-notation.

A: The given sum is 3+5+7+…+2k-1. Express the sum 3+5+7+…+2k-1 using ∑ notation as follows.

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

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Q: determine the closed formula that generates the sequence 1,2,4,8,16,32

A: The given sequence in the question is:

Q: S= (7. -1, -9, -17, - 25, .

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Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

Q: Determine whether the sequence an= 5n+3 Justify your answer. is monotonic. Is it bounded?

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Q: Find the seventh term of the arithmetic progression x, x+y, x+2y,....

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Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)n>0 which starts, 0,…

A: Given: The given sequence is as follows: 0, 1, 6, 15, 28, 45,... Objective: The objective is to find…

Q: Given the sequence rn, defined recursively below, find r4.   r 1 = - 1 rn - rn-1 + n - 1

A: Given  r 1 = - 1 rn - rn-1 + n - 1=0

Q: Find the first five terms of the sequence defined by the following recursive definition. a, = 13 an…

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Q: What is a sequence?

A: A sequence is a list of things in order.

Q: Can you use polynomial fitting to find the formula for the nth term of the sequence 4, 7, 11, 18,…

A: No. The sequence of differences is the same as the original sequence so no differences will be…

Q: Find m given that 2m + 3, m + 4, and m are consecutive terms of an arithmetic sequence.

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