Q. 64.0( 2 Votes )

If the geometric sequences 162, 54, 18,…. and ,…have their nth term equal, find the value of n.

Answer :

Given:For 1st G.P-

a1 = 162 and a2 = 54,

And for 2nd G.P-


R = 3

an = a1rn-1 (n = no. of term, a1 = first term of G.P, r = common ratio)

And nth term of both G.P are equal,

an = An.

a1rn-1 = A1Rn-1

n-1 = 4

n = 5.

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