Recent content by logicaljoe

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    Proof of Math Induction: 1^2 + 2^2 + ... + n^2 = n(n+1)(2n+1)/6

    Let P(n) be the formula 1^2 + 2^2 + ... + n^2 = n(n +1)(2n +1)/6 a. Write P, is it true?(1) 1^2 + 2^2 + ... + 1^2 = 1(1 +1)(2(1) +1)/6 = 1^2 + 2^2 + ... + 1^2 = 1(1 +1)(2 +1)/6 LHS = 1^2 = 1 RHS = 2 . 3/6 = 1 True b. Write P(k) Basis Step n = k 1^2 + 2^2 + ... +...
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    Counting and Probability: Determine product efficacy

    Three drugs: A, B and C 50 subjects reported relief from: 21 drug a 21 drug b 31 drug c 9 a&b 14 a&c 15 b&c 41 report relief from at least one drug Note that some of the subjects who reported results from A might have done so for B and C etc. a. How many got relief from...
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