   Chapter 11.1, Problem 14E

Chapter
Section
Textbook Problem

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. { 4 , − 1 , 1 4 , − 1 16 , 1 64 , ... }

To determine

To find:

The formula for the general term an of the sequence 4,-1,14 ,-116,164,

Explanation

1) Concept:

Sequence is a list of numbers having a definite order and is denoted as

an={a1,  a2,  a3, }

2) Given:

4,-1,14,-116,164,

3) Calculation:

The given sequence is 4,-1,14,-116,164,

Here a1=4, a2=-1, a3=14 a4=-116, a5=164

The first term a1=4, the second term is obtained by multiplying the first term by -14

a2=a1-14

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