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In a G.P., 5^th term is 27 and 8^th term is 729. Find its 11^th term.(a) 729(b) 2187(c) 6561(d) 19683This question was addressed to me during a job interview.This key question is from Geometric Progression(G.P.) in section Sequences and Series of Mathematics – Class 11

Answer» RIGHT choice is (d) 19683

Easiest explanation: Given, a5 = 27 and a8 = 729.

=>ar^4 = 27 and ar^7 = 729

On DIVIDING we get, r^3 = 27 => r=3

=> a=27 / (3^4) = 1/3

=>a11 = ar^10 = (1/3) (3^10) = 39 = 19683.


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