Find the sum of series 1+1/2 + 1/4 + ………. up to 6 terms.(a) 63/32(b) 32/63(c) 26/53(d) 53/26This question was addressed to me during an interview for a job.This question is from Geometric Progression(G.P.) in chapter Sequences and Series of Mathematics – Class 11

Find the sum of series 1+1/2 + 1/4 + ………. up to 6 terms.(a) 63/3

1.	Find the sum of series 1+1/2 + 1/4 + ………. up to 6 terms.(a) 63/32(b) 32/63(c) 26/53(d) 53/26This question was addressed to me during an interview for a job.This question is from Geometric Progression(G.P.) in chapter Sequences and Series of Mathematics – Class 11
Answer» Correct option is (a) 63/32 To explain I would say: GIVEN SERIES is G.P. with first term 1 and common ratio 1/2. We KNOW, Sn = a(1-rn)/(1-r) for r<1. S6 = 1(1-(1/2)^6) / (1-1/2) = (1-1/64) / (1/2) = 63*2/64 = 63/32.

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Find the sum of series 1+1/2 + 1/4 + ………. up to 6 terms.(a) 63/32(b) 32/63(c) 26/53(d) 53/26This question was addressed to me during an interview for a job.This question is from Geometric Progression(G.P.) in chapter Sequences and Series of Mathematics – Class 11

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