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

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

  1. A

    7

  2. B

    7/2

  3. C

    7/4

  4. D

    7/8

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    Solution:

    Let five terms in G.P. be ar2, ar, a, ar, ar2

    Then ar2+r1+1+r+r2(1/a)r2+r+1+r1+r2=49

     a2=49a=±7.

    Also, ar2+a=35

    Therefore a =  7 is not possible

    Thus, a=7 and a/r2=28.

    Now, fifth term =ar2=aa28=74

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