# In a geometric progression, if the ratio of  the sum of first 5 terms to the sum of their reciprocals is 49, and the sum of the first and the third term is 35. Then the first term of this geometric progression is : Option 1) 7 Option 2) 21 Option 3) 28 Option 4) 42

As we learnt in

Common ratio of a GP (r) -

The ratio of two consecutive terms of a GP

- wherein

eg: in 2, 4, 8, 16, - - - - - - -

r = 2

and in 100, 10, 1, 1/10 - - - - - - -

r = 1/10

Let the G.P is G, Gr, Gr2.................

Given that

Option 1)

7

This option in incorrect

Option 2)

21

This option in incorrect

Option 3)

28

This option in correct

Option 4)

42

This option in incorrect

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