Lately, I was wondering if there exists a closed expression for $2^0+2^1+\cdots+2^n$ for any $n$?
the sum of powers of $2$ between $2^0$ and $2^n$
1
$\begingroup$
algebra-precalculus
summation
-
6http://en.wikipedia.org/wiki/Geometric_series – 2011-11-29
-
3Did you try a few values of $n$? – 2011-11-29