Hi(adsbygoogle = window.adsbygoogle || []).push({});

In trying to calculate the following sum:

[tex]

\sum_{i=1}^n{i^2}

[/tex]

I found the following expansions:

[tex]

\sum_{i=1}^p \sum_{j=0}^{i-1} (-1)^j(i-j)^p {n+p-i+1\choose n-i} {p+1\choose j}

[/tex]

My question is: is there an easier or more intuitive way to compute the limit of the sum above?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Geometric Sum (Power Series) Calculation

**Physics Forums | Science Articles, Homework Help, Discussion**