Re: Evaluate the following series:

[Thomas Shores]

Right.  Actually the sum of squares formula that students confirm in 
algebra as an induction exercise, or use in calculus I to confirm via 
areas that the antiderivative of x^2 is x^3/3 is

1^2 + 2^2 + ... + n^2 = n*(2*n+1)*(n+1)/6

which gives exact answer 338350, certainly less than a million.


On 8/13/2012 2:02 PM, Przemek Klosowski wrote:
> On 08/12/2012 02:45 AM, address@hidden wrote:
> > 1^2+2^2+3^2+...+100^2.
> >
> > Could this be correct, I'm getting sum=50005000?
>
> Back of the envelope says NO: you have 100 terms that are at most 
> 100^2, so the sum cannot be larger than one million.
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