Summation And Series Expansion Question Need Help

What are the first four terms of this sequence, beginning with n = 0

An = (-1)n

(n+1)!

Solution


n=0 —> A0 = 1/1! = 1

n=1 —> A1 = -1/(2!) = -1/2

n=2 —> A2 = 1/(3!) = 1/6

n=3 —> A3 = -1/(4!) = -1/24

n=4 —> A4 = 1/(5!) = 1/120

n=5 –> A5 = -1/720

n=6 —> A6 = 1/5040