Questions
In a geometric progression the ratio of the sum of the first 5 terms to the sum of their reciprocals is 49 and sum of the first and the third term is 35.The fifth term of the G.P. is
detailed solution
Correct option is C
Let five terms in G.P. be ar2, ar, a, ar, ar2Then ar−2+r−1+1+r+r2(1/a)r2+r+1+r−1+r−2=49⇒ a2=49⇒a=±7.Also, ar2+a=35Therefore a = – 7 is not possibleThus, a=7 and a/r2=28.Now, fifth term =ar2=aa28=74Similar Questions
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