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Chapter 12: Q. 297 (page 1219)

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

49+7+1+17+149+1343+...

Short Answer

Expert verified

The sum of infinite geometric series is3436

Step by step solution

01

Step 1. Given information

The given G.P. is49+7+1+17+149+1343+...

02

Step 2. Find the common ratio of the G.P.

r=749r=17

03

Step 3. Find the sum of infinite terms of geometric series.

The formula for finding the sum of infinite terms of geometric series is S=a1-r

a=49r=17

S=491-17S=4967S=49脳76S=3436

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Most popular questions from this chapter

In the following exercises, write the first five terms of each arithmetic sequence with the given first term and common difference.

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