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Math Help - Very Easy Induction Problem

  1. #1
    Junior Member
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    Very Easy Induction Problem

    This is how far I have gotten, but am stuck:

    P(n):2+4+6+. . . +2n = n(n+1)
    P(k):2+4+6+. . . +2k = k(k+1)
    P(k+1):2+4+6+. . . +2k+2(k+1) = k(k+1)+(k+1)

    That's as far as I know how to get. Am I on the right track? Also, how would I go about solving the problem?
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  2. #2
    Super Member
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    Quote Originally Posted by Edbaseball17 View Post
    This is how far I have gotten, but am stuck:

    P(n):2+4+6+. . . +2n = n(n+1)
    P(k):2+4+6+. . . +2k = k(k+1)
    P(k+1):2+4+6+. . . +2k+2(k+1) = k(k+1)+(k+1) This should be k(k+1)+2(k+1)

    That's as far as I know how to get. Am I on the right track? Also, how would I go about solving the problem?
    make the correction, then factor to get (k+1)(k+2) which will prove the sum formula.
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