Consider the statement ''`7^n-3^n` is divisible by 4''
Prove the statement using mathematical induction.

Consider the statement P(n):7^n-3^n is divisible by 4. Verify, by the method of mathematical induction, that P(n) is true for all natural numbers.

Consider the statement '' 7^n-3^n is divisible by 4'' Verify the result for n=2 .

Consider the statement P(n)=3^(2n+2)-8n-9 is divisible by 8 Prove the statement using the principle of mathematical induction for all natural numbers.

Consider the statement P(n):7^n-3^n is divisible by 4. Show 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)=3^(2n+2)-8n-9 is divisible by 8 Verify the statement for n=1.

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

Consider the statement '' 10^(2n-1)+1 is divisible by 11''. Verify that P(1) is true and prove the statement by using mathematical induction.

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

Consider the compound statements ''35 is divisible by 5 or 6'' Write the component statement of the given statement.