   Chapter 11.1, Problem 15E

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.15. { − 3 , 2 , − 4 3 , 8 9 , − 16 27 , … }

To determine

To find:  A formula for the general term an of the sequence.

Explanation

Given:

The first five terms of the given sequence are {3,2,43,89,1627,...}

Here, a1=3,a2=2,a3=43,a4=89 and a5=1627 .

Calculation:

The first term of the given sequence is a1=3 .

The second term of the given sequence can be expressed as follows:

a2=332=3(23)

The third term of the given sequence can be expressed as follows:

a3=3343=322(3)(3)=3(23)2

The fourth term of the given sequence can be expressed as follows:

a4

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