Determine the remainder for Sn where n=5 or n=9 for the following series.
∑n=1 to ∞ (n^2+1)/(n^4)
S5=
R5=
S9=
R9=
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...