Expert: Paul Klarreich - 6/19/2008

Question
2,4,16,64,256...how to find the nth term of this series..
i want a general formula of this series for finding the nth term.

Answer
Questioner:   sunny
Category:  Advanced Math
Private:  No
 
Subject:  Formula For series of squares
Question:  2,4,16,64,256...how to find the nth term of this series..
i want a general formula of this series for finding the nth term.
..................................
Hi, Sunny,

Are you sure the first term is 2?  Leaving it out, you have a geometric sequence.  (NOT a series)

If it is actually  1,4,16,64,256... then you have a0 = 1,  a1 = 1*4, a2 = 1*4^2,..

and  a[n] = 1 * 4^(n-1)  << your general term.