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Math Help - help on proof

  1. #1
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    help on proof

    if Bk>0, then prove the following:
    B1+B2+.....+Bn-B1B2....Bn<=n-1
    (sum-product is less than equal to n-1)

    When my instructor was talking about Bernoulli's inequalities, he gave us this problem to prove.
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  2. #2
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    Quote Originally Posted by Judi
    if Bk>0, then prove the following:
    B1+B2+.....+Bn-B1B2....Bn<=n-1
    (sum-product is less than equal to n-1)

    When my instructor was talking about Bernoulli's inequalities, he gave us this problem to prove.
    There seems to be a problem here.
    If, n=2
    Then,
    B_1+B_2-B_1B_2\leq 2-1
    Only when,
    0<B_1\leq 1 \mbox{ and } 0<y\leq 1
    or,
    1\geq B_1 \mbox{ and }1\geq B_2
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