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Math Help - need to derive a formula

  1. #1
    Member grgrsanjay's Avatar
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    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}
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  2. #2
    A Plied Mathematician
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    See here.
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  3. #3
    Member grgrsanjay's Avatar
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    \frac{(2n^6 + 6n^5 +5n^4 - n^2)30}{(6n^5 + 15n^4 +10n^3 - n)12}

    i need derivation for this expression
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  4. #4
    A Plied Mathematician
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    Right. Well, I would probably prove the numerator and denominator sums separately, using induction. Then you'd pretty much be done.
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  5. #5
    Member grgrsanjay's Avatar
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    Quote Originally Posted by Ackbeet View Post
    Right. Well, I would probably prove the numerator and denominator sums separately, using induction. Then you'd pretty much be done.
    Quote Originally Posted by grgrsanjay View Post
    well,that would be okay.
    okay
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  6. #6
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    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!

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  7. #7
    Member grgrsanjay's Avatar
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    oh OK anyway i got the answer
    thank you guys
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  8. #8
    A Plied Mathematician
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    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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