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An exponential sequence (G.P.) is given by \(\frac{9}{2},\fr...

An exponential sequence (G.P.) is given by 92,34,18,....Find its sum to infinity

A.

525

B.

415

C.

1312

D.

634

Correct answer is A

Sum to infinity of a G.P when /r/ < 1 = a1r

a = 92,r=T2T1=34+92

r = 34×29=16

S=92116=9256=275