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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