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The-sum-of-first-two-terms-of-an-infinite-GP-is-1-and-every-term-is-twice-the-sum-of-the-successive-terms-Its-first-term-is-




Question Number 46921 by 786786AM last updated on 02/Nov/18
The sum of first two terms of an infinite  GP is 1 and every term is twice the sum  of the successive terms. Its first term is
ThesumoffirsttwotermsofaninfiniteGPis1andeverytermistwicethesumofthesuccessiveterms.Itsfirsttermis
Answered by peter frank last updated on 02/Nov/18
a+ar=1.....(1)  a=2(ar+ar^2 +ar^3 +...)...(2)  from 1  a=(1/(1+r))    from 2  a=((2ar)/(1−r))  1−r=2r  r=(1/3)  substitute r in 1  a=(3/4)
a+ar=1..(1)a=2(ar+ar2+ar3+)(2)from1a=11+rfrom2a=2ar1r1r=2rr=13substituterin1a=34

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