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Math Help - Solve for A and B

  1. #1
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    Solve for A and B

    Solve for A and B if:

    1/(k*(k+1)) = A/k + B/(k+1)

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  2. #2
    MHF Contributor red_dog's Avatar
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    Multiply by k: \displaystyle\frac{1}{k+1}=A+\frac{Bk}{k+1}.
    Put k=0: we get 1=A

    Now, multiply the first equality by k+1: \displaystyle\frac{1}{k}=\frac{A(k+1)}{k}+B.
    Put k=-1: we get -1=B
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