Hi. I'm attempting a question and I'm not sure whether integration is the right method:

- A ball drops onto a flat surface from heighth. It returns to a height of $\displaystyle \frac{h}{3^n}$ after the $\displaystyle n^th$ bounce. Find the total distance travelled by the ball.

I'm thinking something along the lines of

$\displaystyle \int_0^\infty h + 2\frac{h}{3^n}dn$

Is this right?