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Discrete Mathematics and Induction

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Use mathematiceal induction to prove expression...
Construct a truth table to show that the expression ...
(I require assistance with the attached questions)

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The expert examines mathematical inductions to provide expression. A complete, Neat and Step-by-step Solutions are provided in the attached file.

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Let P(n): 1 /1 * 2 + 1 /2 * 3 + ... + 1 /n * (n + 1) = n /n + 1
P(1): 1 /1 * 2 = 1 / 1 + 1
1/2 = 1/2
 P(1) is true
P(2) = 1 /1 * 2 + 1 /2 * 3 = 2 /2 + 1
1/2 + 1/6 = 2/3
2/3 = 2/3
 P(2) is true
Let P(n) be true for n = k. That is let P(k) be ...

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