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Chapter 12: Q 49. (page 825)

For Problems 45鈥�50, use a graphing utility to find the sum of each geometric sequence.

-1-2-4-8-...-214

Short Answer

Expert verified

The sum of the given sequence is-32767-32767

Step by step solution

01

Step 1. Write the given information.

The given sequence is-1-2-4-8-...-214

02

Step 2. Find the common ratio.

a1=-1,a2=-2,n=15a2a1=-2-1=2r=2

03

Step 3. Find the sum.

The formula for the sum of nth term issn=a1(rn-1)r-1

s15=-1路215-12-1=-(215-1)=-32767

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