How do you find the nth term rule for 1,2,4,8,16,32,64?

1 Answer
Jun 19, 2016

2^(n-1)

Explanation:

The formula for n th term of a geometric sequence is ar^(n-1) where a is the first term and r is the common ratio. In the given sequence first term is 1 and the common ratio is 2. Hence nth term would be 2^(n-1)

Note that r=("a term")/("previous term")=2/1=4/2=8/4=16/8 = 2