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Math Help - [SOLVED] How to calculate the following?

  1. #1
    spmlingam
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    [SOLVED] How to calculate the following?

    a) Prove that the sum of fourth powers of the first n integers is 1/30n(n+1) (2n+1)(3n2+3n+1) .


    Please explain
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by spmlingam View Post
    a) Prove that the sum of fourth powers of the first n integers is 1/30n(n+1) (2n+1)(3n2+3n+1) .


    Please explain
    i'm not sure what you are asking, since you don't use parentheses. is it \frac 1{30n(n + 1)(2n + 1)(3n^2 + 3n + 1)}?

    anyway, i'm thinking induction. did you try that?
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  3. #3
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    Hello, spmlingam!

    You have a typo . . .


    Prove that the sum of fourth powers of the first n integers is:

    . . . . . . . . . . . . . . . . . . {\color{red}\downarrow}
    . . \frac{n(n+1) (2n+1)(3n^2+3n{\bf{\color{red}-}}1)}{30}

    An inductive proof may be the way to go.
    . . [The algebra gets very messy, though.]

    Any other approach requires even more algebra . . .

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