# Find the 6th

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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