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Chapter 11: Q 171. (page 1069)

In the following exercises, find the sum of each infinite geometric series.

6-2+23-29+227-281+鈰�

Short Answer

Expert verified

The obtained sum is 4.5.

Step by step solution

01

Step 1. Given Information.

Consider the given series.

6-2+23-29+227-281+鈰�

02

Step 2. Find the common ratio.

To find the common ratio, divide the second term by first.

r=-26=-13

And the ratio is r<1.

03

Step 3. Find the sum of infinite series.

The sum formula of geometric infinite series isS=a1-r.

Substitute the first term and the common ratio in the above formula.

S=61--13=63+13=184=4.5

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