Hey all!

The series looks like this

$\displaystyle 3 - \frac{6}{5} + \frac{12}{25} - \frac{24}{125} + \frac{48}{625} - ...$

so the first thing I did was re-wrote it as the sum, from n=1 to infinity,

$\displaystyle \frac{(-1)^{(n+1)}*3*2^{(n-1)}}{5^{(n-1)}}$

not sure if that is the best way to write it, and how to find the infinite sum, any hints for the right direction would be helpful! thank you.