Let P(n) be a statement about natural n. According to the Principle of Mathematical Induction on p. 84, to prove that P(n) is true for all n E N we need to ensure that which of the following conditions are met? Choose all that apply. O P(k) imply P(k+ 1) for any natural k. O P(1) is true. O P(1), ..., P(k) imply P(k + 1) for any natural k. O P(k - 1) and P(k) imply P(k + 1) for any natural k. O P(1) and P(2) are true.

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