defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Principles of Mathematical Induction
For a statement P(n) to be true for all n ∈ N, where N denotes the set of natural numbers, which of the following conditions must be satisfied?
1
P(k + 1) = P(k) + 1 for all k ∈ Z
2
P(k + 2) = 2P(k)
3
P(1) must be true
4
P(k) + P(k + 1) = p(k + 2) for all k ∈ Z