Asked by Sushi :)

Find the first five terms of the sequence of partial sums. (Round your answers to four decimal places.)


∑ (−5)^n + 1/n!
n=1


S1 = 25.000

S2 = -37.5000

S3 ≈ 66.6667

S4 ≈

S5 ≈ 66.6667


Im missing the 4th one, If anyone knows the answer it'd be appreciated.

Answers

Answered by oobleck
how did you get your answers?
a_n = (−5)^n + 1/n!
a1 = -5 + 1 = -4
a2 = 25 + 1/2
a3 = -125 + 1/6
a4 = 625 + 1/24
a5 = -3125 + 1/120
So that gives
S1 = -4
S2 = S1 + 25.5555 = 21.5
S3 = S2 -125 + 1/6 = -103.2778
S4 = S3 + 625 + 1/24 = 521.9722
S5 = S4 - 3125 + 1/120 = -2603.0195
Answered by Sushi :)
website marked my previous answers as correct, these can't be it.
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