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If the first term of an infinite G.P. is 1 and each term is twice the sum of the succeeding terms, then the common ratio is
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13
b
23
c
34
d
None of these
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Correct option is A
Let the G.P. be 1 r,r2,r3,..Given, tn=2tn+1+tn+2+tn+3+… to ∞ or tn=2⋅tn+11−r, (∵ common ratio =r)∴ =tn+1tn; or 1−r2=r or 1−r=2r;∴r=13Similar Questions
Suppose th term of a is and th term is then its th is
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