I need help deriving a formula.

5. The value of g can be estimated by measuring the total time it takes for a rubber ball to bounce a given number of times. Consider the diagram to the right: The ball is dropped from an initial height of ho and it makes N complete bounces, ho h1 not including the first drop from the initial height of ho. The time for one complete h2 bounce is the time from contact with the ground until the time of the next contact with the ground. In the diagram, N would be equal to 3. Let the constant C be defined as follows: C =V(hi/ho) = V(hz/hi) = \\(hN/hN-1) Let T = the time for N complete bounces. This, would be the total time from the first contact with the ground until the last contact with the ground. Derive a formula that gives g in terms of hi, T, N and C. You will find it useful to remember the formula for the sum of a finite geometric series: Sn = al(1-r")/(1-r) where a, is the first term in the series, r is the ratio of consecutive terms and n is the number of terms