Question

Fill in the blanks in the following :
29. If P(n) : 2n < n!, n ∈ N, then P(n) is true for all n ≥ ________.
State whether the following statement is true or false. Justify.
30. Let P(n) be a statement and let P(k) ⇒ P(k + 1), for some natural number k,
then P(n) is true for all n ∈ N.

Answer 1

29) 1
30) No, two condition P(1) and P(k) should also be true.