1. decreasing sequences

how do you show that a=n/2^n is a decreasing sequence

2. Originally Posted by Lupus
how do you show that a=n/2^n is a decreasing sequence
You need to show that $a_{n} > a_{n+1}$.

Since $
n > 1
$

then $
2n > n + 1
$

then $
n > \frac{n+1}{2}
$

then $
\frac{n}{2^n} > \frac{1}{2^n} \frac{n+1}{2} = \frac{n+1}{2^{n+1}}
$

the desired result.

3. thanks you have been a great help