SOLUTION: The sum of 1 + r + r^2 + r^3 + .... = 1.85. What is the value of the sum r + r^3 + r^5 + r^7....?

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Question 1104515: The sum of 1 + r + r^2 + r^3 + .... = 1.85. What is the value of the sum r + r^3 + r^5 + r^7....?
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The sum of an infinite geometric series with first term a and common ratio r (|r|<1) is



We are told that





The series whose sum we are to find has first term r and common ratio r^2; the sum of that infinite series is
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