Suppose that P(n) is a propositional function. Determine for which

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Tom D

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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, the 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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