Determine the remainder for Sn where n=5 or n=9 for the following series.

Question

∑n=1 to ∞ (n^2+1)/(n^4)

S5=


R5=


S9=


R9=

Answer 1

see whether this helps:

http://www.wolframalpha.com/input/?i=sum(k%3D1..n)+(k%5E2%2B1)%2Fk%5E4

You can plug in 5 or 9 for n and get the partial sums...