Suppose that P(n) is a propositional function. Determine for which positive integers n the statement P(n) must be true if: P(1) is true; for all positive integers n, if P(n) is true then P(n+2) is true.
A. P(3)
B. P(2)
C. P(4)
D. P(5)
Answer:A
Suppose that P(n) is a propositional function. Determine for which positive integers n the statement P(n) must be true if: P(1) is true; for all positive integers n, if P(n) is true then P(n+2) is true.
A. P(3) B. P(2) C. P(4) D. P(5)
Explanation: By induction we can prove that P(3) and P(5) is true but we can’t conclude about P(2) and P(4).