# Math Help - Integration Question

1. ## Integration Question

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 height h. It returns to a height of $\frac{h}{3^n}$ after the $n^th$ bounce. Find the total distance travelled by the ball.

I'm thinking something along the lines of

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

Is this right?

2. It's simply a sum: $h + 2\frac{h}{3^1} + 2\frac{h}{3^2} + ...$

Where'd you get the integral from?