Suppose that P(n) is a propositional function. Determine for which positive integers n the statement P(n) must be true if: P(1) and P(2) is true; for all positive integers n, if P(n) and P(n+1) is true then P(n+2) is true.
A. P(1)
B. P(2)
C. P(4)
D. P(n)
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) and P(2) is true; for all positive integers n, if P(n) and P(n+1) is true then P(n+2) is true.
A. P(1) B. P(2) C. P(4) D. P(n)
Explanation: By induction we can prove that P(n) is true.