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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