Find the first five terms of the sequence of partial sums.
∞
E (−5)^n + 1/n!
n=1
s1
s2
s3
s4
s5
∞
∑ (−5)^n + 1/n!
n=1
= (-5)^1 + 1/1! + (-5)^2 + 1/2! + (-5)^3 + 1/3! + (-5)^4 + 1/4! + (-5)^5 + 1/5!
= -5 + 1 + 25 + 1/2 - 125 + 1/6 + 625 + 1/24 - 3125 + 1/120
= .....