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Chapter 12: Q. 24 (page 838)

In Problems 22鈥�25, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.

12+34+98+.....

Short Answer

Expert verified

The geometric series diverges.

Step by step solution

01

Step 1. Given information.

The geometric series is:

12+34+98+.........

02

Step 2. To find common ratio and first term.  

First term of the series is:a=12

Common ratio of the series:

localid="1647273726019" r=34梅12=34脳21=32=1.5

Since common ratio is greater than 1.

Hence the series diverges.

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Most popular questions from this chapter

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