Write an equivalent series with the index of summation beginning at n = 1. ∞ (−1)n + 1(n + 1)xn n = 0

Looks like the starting series is

Note the degree of the first few terms in the series, for , are , and so on.

So if the series were to start at , we would need to preserve that pattern, and we do that by replacing with :

Simplifying a bit, we end up with

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s