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Math Help - mathematical induction

  1. #1
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    mathematical induction

    if x/a + y/b =1 and( x^2)/a + ( y^2)/b =(ab/(a+b)) then prove for all n belongs to N

    x^(n+1)/a + y^(n+1)/b = (ab/(a+b))^n
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    Welcome to the board.
    You need to understand that this is not a homework service. Therefore, you need to either post some of your work on a problem or explain what you do not understand about the question.
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by sreeni73 View Post
    if x/a + y/b =1 and( x^2)/a + ( y^2)/b =(ab/(a+b)) then prove for all n belongs to N

    x^(n+1)/a + y^(n+1)/b = (ab/(a+b))^n
    There is a clue in what is given; they constitute not a single base case to start from, but force the truth of what is to be proven for the n=0 and n=1 cases. This implies that you are probably going to have to use something like strong induction (or at least the assumed truth of cases k and k-1 to prove it for k+1) to do this.

    CB
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