# Math Help - need to derive a formula

1. ## need to derive a formula

need a formula for this expression
$\frac{1^5 + 2^5 + 3^5 + ..... +(n-1)^5 + n^5}{1^4 + 2^4 + 3^4 + ..... + (n-1)^4 + n^4}$

2. See here.

3. $\frac{(2n^6 + 6n^5 +5n^4 - n^2)30}{(6n^5 + 15n^4 +10n^3 - n)12}$

i need derivation for this expression

4. Right. Well, I would probably prove the numerator and denominator sums separately, using induction. Then you'd pretty much be done.

5. Originally Posted by Ackbeet
Right. Well, I would probably prove the numerator and denominator sums separately, using induction. Then you'd pretty much be done.
Originally Posted by grgrsanjay
well,that would be okay.
okay

6. Hello, grgrsanjay!

What course are you taking?

These derivations are not difficult ,
. . but if we are limited to basic Algebra,
. . they will take pages and pages!

7. oh OK anyway i got the answer
thank you guys

8. Not exactly sure why you're frowning. If you got the answer on your own, that's the best result! That means you own the answer, and you'll understand the problem a lot better than if I were to simply show you the answer.