# Infinite Sequence

• Mar 15th 2009, 09:40 PM
mollymcf2009
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:

$a_n$= ?

{ $1, \frac{1}{3}, \frac{1}{9}, \frac{1}{27}, \frac{1}{81}$ }
• Mar 15th 2009, 09:50 PM
Quote:

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:

$a_n$= ?

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

$a_n = \frac{1}{3^{n-1}}$
• Mar 15th 2009, 10:21 PM
matheagle
or as I said ${1\over 3^n}$ for n=0,1,2,3...