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Math Help - proof

  1. #1
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    proof

    prove 4 + 12 +20 + ... +(8n-4) =4n^2

    true for n=1

    (8n-4) + 8(n+1)-4 = 4n^2 +8(n+1)-4

    simplify but then how do i finish off?
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  2. #2
    Super Member flyingsquirrel's Avatar
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    Hello
    Quote Originally Posted by skystar View Post
    (8n-4) + 8(n+1)-4 = 4n^2 +8(n+1)-4

    simplify but then how do i finish off?
    Once you've simplified the expression, try to factor it by 4.
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  3. #3
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    so will this give a n+2 term and shows its true for all of the sequence.
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  4. #4
    Super Member flyingsquirrel's Avatar
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    Quote Originally Posted by skystar View Post
    so will this give a n+2 term and shows its true for all of the sequence.
    If you meant n+1, that's it !
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