Question

If ∀n∈N, Let p(n) = 1 + 3 + 5 +....+(2n-1) = 3 + n2 then which of the following is true?

• A. p(1) is true
• B. p(k) is true ⇒ p(k + 1) is true
• C. p(k) is true, p(k + 1) is not true
• D. p(k) is not true ⇒ p(k + 1) is true

Answer 1

Answer: (B)

p(k) is true ⇒ p(k + 1) is true

Answer 2

The correct option is (B): p(k) is true ⇒ p(k + 1) is true