Answer:
≈ 92.821 m
Explanation:
For a geometric series with initial value a and rate r, the sum after n terms can be represented by
a*(1-r^n)/(1-r)
Here, we know a = 10 (the first swing), r = 9/10 because the second swing was 9/10 of the first swing, meaning we multiply the first swing by 9/10 to get the second swing, and n = 25. Plugging these values in, we get
10 * (1-0.9^25)/(1-0.9) ≈ 92.821 m