need a formula for this expression $\displaystyle \frac{1^5 + 2^5 + 3^5 + ..... +(n-1)^5 + n^5}{1^4 + 2^4 + 3^4 + ..... + (n-1)^4 + n^4}$
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$\displaystyle \frac{(2n^6 + 6n^5 +5n^4 - n^2)30}{(6n^5 + 15n^4 +10n^3 - n)12}$ i need derivation for this expression
Right. Well, I would probably prove the numerator and denominator sums separately, using induction. Then you'd pretty much be done.
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
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!
oh OK anyway i got the answer thank you guys
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.
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