Find the sum of: a 25+5+1++

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Find the sum of:
a 25+5+1++
Transcribed Image Text:Find the sum of: a 25+5+1++
Expert Solution
Step 1: Identify the type of the progression

We have to calculate the sum: 

25 + 5 + 1 +1/5 + ...

We can see that each succeeding term is obtained by dividing the preceding term by 5 

So, we are provided with a geometric progression with a = 25 and r = 1/5. 

Also, there are infinite terms in the G.P.

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