# Math Help - prove that 1/(2^(2n)) converges

1. ## prove that 1/(2^(2n)) converges

PLease help i've totally forgotten how to do this i know it has something to do with the sequences of partial sums.

Show that (the sum from n=1-infinity) of 1/(2^(2n)) converges.

Sorry bout the crap way of writing it.

2. comparison test with 1 / 2^n

3. Hello,

Just use basic rules of exponents :
$(a^b)^c=a^{bc}$

Hence $2^{2n}=(2^2)^n=4^n$

Is $\sum_{n=1}^\infty \frac{1}{4^n}$ a convergent series ?

Hint : think geometric