   Chapter 11.R, Problem 27E

Chapter
Section
Textbook Problem

Find the sum of the series. ∑ n = 1 ∞ 1 ( − 3 ) n − 1 2 3 n

To determine

To find

The sum of the series

Explanation

1) Concept:

Use geometric series to find sum.

2) Formula:

If a is initial term and r is the common difference,  then the sum of a geometric series is  a1-r.

3) Calculations:

Consider

n=1-3n-123n

It can be rearranged as

n=1-3n-18n

=18n=1-3n-18

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