Prove that the product of two consecutive even numbers added to 1 gives a perfect square.

Using principle of mathematical induction, prove that the product of two consecutive natural numbers is an even number

What nùmber added to 1 gives its own square?

Algebraic form of an n^(th) term of an arithmetic sequence is 8n-4. Prove that the sum of the n consecutive terms of this sequence is a perfect square.

1 added to the product of two consecutive even numbers gives 289. What are the numbers?

Which number added to 16.254 gives 30 ?

If the product of two consecutive odd numbers is 399, find the numbers.

The sum of first n terms of an arithmetic sequence is n^2+2n Prove that the sum of continuous terms starting from the first of the sequence 3,5,7,..... added to 1 gives a perfect square.

9 added to the product of two consecutive muitiples of 6 gives 729 . What are the numbers?

The product of two consecutive multiples of 8 is 768.What are the numbers?