1. ## Infinite Sequence

This is a seemingly easy sequence but I cannot for the life of me figure it out:

Find a formula for the general term $a_n$ of the sequence, assuming the pattern given continues:

$a_n$= ?

{ $1, \frac{1}{3}, \frac{1}{9}, \frac{1}{27}, \frac{1}{81}$ }

2. Originally Posted by mollymcf2009
This is a seemingly easy sequence but I cannot for the life of me figure it out:

Find a formula for the general term $a_n$ of the sequence, assuming the pattern given continues:

$a_n$= ?

{ $1, \frac{1}{3}, \frac{1}{9}, \frac{1}{27}, \frac{1}{81}$ }
$a_n = \frac{1}{3^{n-1}}$

3. or as I said ${1\over 3^n}$ for n=0,1,2,3...