Re: a problem about sequence of numbers

lazybear wrote:
I got a problem to solve as below , until now I still can not find an
efficent solution ,can anyone help me out , thanks!

find the patten of :

1^3/(1^4 + 4) -3^3/(3^4 + 4) +5^3/(5^4 + 4)- ......+(-1)^n(2n+1)^3 /
[(2n+1)^4 +4]


Try computing the first few terms. The pattern isn't hard to
guess. Though you didn't ask for it, it's also easy to prove
that the guess is correct.

Hint: it looks like (-1)^n (linear term) / (quadratic term)


Regards,

Rick
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