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Question: If the second term of a G.P. is 2 and the sum of its infinite terms is 8, then its first term is-...

If the second term of a G.P. is 2 and the sum of its infinite

terms is 8, then its first term is-

A

12\frac { 1 } { 2 }

B

14\frac { 1 } { 4 }

C

2

D

4

Answer

4

Explanation

Solution

Let a be the first term and r be the common ratio of G.P.

ar = 2 …(1); a1r\frac { a } { 1 - r } = 8 …(2)

By (1) and (2) a = 4