Consider the statement ''`p(n):9^n-1` is a multiple of 8''. Where n is a natural number.
Is `p(1)` true?

Consider the statement '' p(n):9^n-1 is a multiple of 8''. Where n is a natural number. Assuming p(k) is true, show that p(k+1) is true.

Consider the statement '' P(n):x^n-y^n is divisible by x-y ''. Show that P(1) is true.

Consider the statement P(n):7^n-3^n is divisible by 4. Show that P(1) is true.

Consider the statement P(n):2^(3n) -1 is divisible by 7 If p(k) is true, show that p(k+1) is also true

Let P(n) denotes the statement n^3+(n+1)^3+(n+2)^3 is a multiple of 9 If P(k) is true, prove that P(k+1) is also true

Consider the statement P(n)=3^(2n+2)-8n-9 is divisible by 8 Verify the statement for n=1.

Consider the statement P(n):n(n+1)(2n+1) is divisible by 6. Verify the statement for n=2.

Let P(n) denotes the statement n^3+(n+1)^3+(n+2)^3 is a multiple of 9 Prove that P(1) is true

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.

Consider the statement P(n):n(n+1)(2n+1) is divisible by 6. By assume that P(k) is true for a natural number k, Verify that P(k+1) is true.