Use mathematical induction to show that `1+3+5+…+ (2n-1) = n^(2)` is true for a numbers n.

Using the Principle of mathematical induction, show that 11^(n+2)+12^(2n-1), where n is a naturla number is a natural number is divisible by 133.

Using the Principle of mathematical induction, show that 11^(n+2)+12^(2n+1), where n is a natural number is divisible by 133.

Using mathematical induction , show that n(n+1)(n+5) is a multiple of 3 .

Using mathematical induction , show that n(n+1)(n+5) is a multiple of 3 .

Using mathematical induction , show that n(n+1)(n+5) is a multiple of 3 .

Use the principle of mathematical induction to show that 5^(2+1)+3^(n+2).2^(n-1) divisible by 19 for all natural number n.

Use the principle of mathematical induction to show that 5^(2n+1)+3^(n+2).2^(n-1) divisible by 19 for all natural numbers n.

Use the principle of mathematical induction to show that 5^(2n+1)+3^(n+2).2^(n-1) divisible by 19 for all natural numbers n.

Use the principle of mathematical induction to show that 5^(2n+1)+3^(n+2).2^(n-1) divisible by 19 for all natural numbers n.

Use the principle of mathematical induction to show that 5^(2n+1)+3^(n+2).2^(n-1) divisible by 19 for all natural numbers n.