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## Homework Statement

A ball is dropped from a 100 feet and has a 90% bounce recovery. How many bounces does it take for the ball to travel 1854.94320091 feet?

## Homework Equations

-None-

## The Attempt at a Solution

I know the ratio is .9 and the 'a one' value is 180, so I plugged those values in this equation that is the equation for a Finite Geometric Series:

S sub n= a1(1-r^n/1-r)

I subtracted 100 feet because that doesn't follow the ratio.

then 1754.94320091=180((1-.9^n)/(1-.9))

I got 35 for 'n' but I was wondering if it would be 36 because of the initial bounce?