Question

By the principle of mathematical induction,Prove that ,for n belongs Natural number​

Answer 1

Answer:

Hence, by the Principle of Mathematical Induction, P(n) is true for all natural numbers n ≥ 2. Thus, P (k + 1) is true, whenever P(k) is true. Hence, by the Principle of Mathematical Induction, P(n) is true for all natural numbers, n ≥ 2. ... Example 5 2n + 1 < 2n, for all natual numbers n ≥ 3.

Answer 2

Step-by-step explanation:

By the Principle of Mathematical Induction,

P(n) is true for all natural numbers n ≥ 2.

Thus, P (k + 1) is true, whenever P(k) is true.

Hence, by the Principle of Mathematical Induction, P(n) is true for all natural numbers, n ≥ 2.