Suppose that P (n) is a propositional function. Determine for which nonnegative integers n the statement P (n) must be true if a) P (0) is true; for all nonnegative integers n, if P (n) is true, then P (n + 2) is true. b) P (0) is true; for all nonnegative integers n, if P (n) is true, then P (n + 3) is true. c) P (0) and P (1) are true; for all nonnegative integers n, if P (n) and P (n + 1) are true, then P (n + 2) is true. d) P (0) is true; for all nonnegative integers n, if P (n) is true, then P (n + 2) and P (n + 3) are true.
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Home » Mathematics » Suppose that P (n) is a propositional function. Determine for which nonnegative integers n the statement P (n) must be true if a) P (0) is true; for all nonnegative integers n, if P (n) is true, then P (n + 2) is true.