Answer :

Given: GP is 2, 6, 18, 54….


The given GP is of the form, a, ar, ar2, ar3….


Where r is the common ratio.


First term in the given GP, a1 = a = 2


Second term in GP, a2 = 6


Now, the common ratio,



Now, nth term of GP is, an = arn – 1


So, the 6th term in the GP,


a6 = ar5


= 2 x 35


= 486


nth term in the GP,


an = arn – 1


= 2.3n – 1


Hence, 6th term = 486 and nth term = 2.3n – 1


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