Answer
a. P(2) is true
b. P(K): 2^K < (K+1)!
c. P(K+1): 2^(K+1) < (K+2)!
d. We need to show that if P(k) is true then P(K+1) is true
Work Step by Step
a. P(2): 2^2 < (2+1)!
4 < 3!
4 < 6 is true
so P(2) is true
b. P(K): 2^K < (K+1)!
c. P(K+1): 2^(K+1) < (K+2)!
d.
ans: We need to show that if P(k) is true then P(K+1) is true.