Question

How do you find the nth term rule for 1,4,16,64?

Answer 1

As follows

Explanation:

In the given series
`1,4,16,64-----`
the terms are in GP with first term a= 1 and common ratio r=4.
Following the formula of `nth` term of GP i.e. `ar^(n-1)`
the nth term of GP=`1.4^(n-1)=4^(n-1)`