#### Question :

If the sum of first two terms of an infinite GP is 1 and every term is twice the sum of all the successive terms, then find its first term ?Submitted on 10/7/2024 | Answered by Vandana Rana#### Answer :

Let terms of infinite G.P. are a,ar ,ar

^{2}.... .......

a +ar =1......... (1)

a =2(ar +ar

^{2}+ar

^{3}+.......)(given)

a =2ar(1+r+r

^{2}+.........)

1 =2r[1/(1-r)]

1-r=2r

3r= 1

r =1/3

put value of in (1)

a(1 +1/3) =1

a=3/4