According to the principle of mathematical induction when, can we say that a statemen X(n)is true for all natural numbers n?

Use the principle of mathematical induction to show that a^(n) - b^9n) is divisble by a-b for all natural numbers n.

Use the principle of mathematical induction to show that a^(n) - b^n) is divisble by a-b for all natural numbers n.

Use the principle of mathematical induction to show that (a^(n) - b^n) is divisble by a-b for all natural numbers n.

Use the principle of mathematical induction to show that (a^(n) - b^n) is divisble by a-b for all natural numbers n.

Use the principle of mathematical induction to show that a^(n) - b^n) is divisble by a-b for all natural numbers n.

Consider the statement '' P(n):x^n-y^n is divisible by x-y ''. Using the principal of Mathematical induction verify that P(n) is true for all natural numbers.

By the principle of mathematical induction prove that the following statement are true for all natural numbers 'n' n (n+1) (n+5) is a multiple of 3.

Prove by the principle of mathematical induction that 2^ n >n for all n∈N.

Using the principle of mathematical induction, prove that n<2^n for all n in N

Prove each of the statements by the principle of mathematical induction : 1+2+2^n + ….. + 2^n = 2^(n+1) - 1 for all natural numbers n .