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This problem illustrates the importance of establishing the base case. (a) Let P(n) be the following:...

This problem illustrates the importance of establishing the base case.

(a) Let P(n) be the following: 2 + 4 + 6 + ... + 2n = n(n + 1) + 2.

Assume that for some n ∈ N, P(n) is true. Using this as your hypothesis, show that P(n + 1) is true.

(b) Is P(n) true for all n?

Math   Statistics-And-Probability   
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