A student was asked to prove a statement P (n) by induction. He proved

1.	A student was asked to prove a statement P (n) by induction. He proved that P (k + 1) is true whenever P (k) is true for all k > 5 ∈ N and also that P (5) is true. On the basis of this he could conclude that P (n) is true(A) for all n ∈ N (B) for all n > 5(C) for all n ≥ 5 (D) for all n < 5
Answer» Answer is (C), since P(5) is true and P(k + 1) is true, whenever P (k) is true.

A student was asked to prove a statement P (n) by induction. He proved that P (k + 1) is true whenever P (k) is true for all k > 5 ∈ N and also that P (5) is true. On the basis of this he could conclude that P (n) is true(A) for all n ∈ N (B) for all n > 5(C) for all n ≥ 5 (D) for all n < 5

Answer»

Answer is (C),

since P(5) is true and P(k + 1) is true, whenever P (k) is true.