Write an expression for the nth term of (an) the sequence. (Assume that n begins with 1.) 1. 1 + 1/2, 1 + 3/4, 1 + 7/8, 1 + 15/16, 1 + 31/32, 2. 1, -1, 1, -1, 1, ... 3.1/2, 1/4, 1/8, 1/6

Q: 1.Find the 32nd term of each sequence. -9,-8.7,-8.4 9,4,-1,-6,-11.

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Q: Find the first 4 terms of the recursively defined sequence. a1 =-3, an+1= an+9

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Q: Determine the sum of all the 1st 71 terms of sequence 2, 5, 8, 11, 14. a. 7590 b. 7600 c. 7597…

A: Here, a1=2,a2=5d=a2-a1=5-2=3

Q: Find the recursive formula for the Arithmetic sequence. -24, -34, -44, -54, .. ...

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Q: Determine if the sequence if geometric. If it is, find the explicit formula for the nth term, and…

A: The sequence is said to be a geometric sequence if the ratio of any two consecutive terms is equal…

Q: Find a formula for the nth term of the sequence. - 6, - 4, - 2, 0, 2, . (every other integer…

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Q: Write the first five terms of the sequence defined recursively. a₁ = 5, ak+1 = 4(a-3) ak+1 a₁ az 33…

A: We will find the required.

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.