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Math Help - how to prove the induction problem

  1. #1
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    how to prove the induction problem

    4+8+12+...+4n= 2n(n+1)
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  2. #2
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    Re: how to prove the induction problem

    Quote Originally Posted by yingao View Post
    4+8+12+...+4n= 2n(n+1)
    Can you show that it is true for n=1~?
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  3. #3
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    Re: how to prove the induction problem

    4n= 2n(n+1)

    4 x1 = 2x1 (1+1)

    4 = 4
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    Re: how to prove the induction problem

    Quote Originally Posted by yingao View Post
    4n= 2n(n+1)
    4 x1 = 2x1 (1+1)
    4 = 4
    O.K.
    Now if we know that for K>1, 4+8+12+...+4K= 2K(K+1) what can say about 4+8+12+...+4K+4(K+1)?
    Last edited by Plato; April 1st 2012 at 04:00 PM.
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  5. #5
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    Re: how to prove the induction problem

    Thanks for your help! I don't know how to go on from here.
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