theorem :: SERIES_2:8

for s being Real_Sequence st ( for n being Nat holds s . n = ((n * (n + 1)) * (n + 2)) * (n + 3) ) holds
for n being Nat holds (Partial_Sums s) . n = ((((n * (n + 1)) * (n + 2)) * (n + 3)) * (n + 4)) / 5