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The sum of an infinite G.P. whose common ratio is positive and is numerically less than 1 is 36 and the sum

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The sum of an infinite G.P. whose common ratio is positive and is numerically less than 1 is 36 and the sum of the first two terms is 32. What will be the third term? 

(a) 1/3 

(b) 4/3 

(c) 8 /3 

(d) 2

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1 Answer

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Best answer

Correct option (c) 8/3

Explanation:

Trying to plug in values we can see that the infinite sum of the GP 24, 8, 8/3... is 36. 

Hence the third term is 8/3.

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