(5) (Pattern5) Product of two consecutive even or odd natural numbers.

If 1 is added to the product of two consecutive even natural numbers it is equal to the square of the only odd natural number between them.

If 1 is added to the product of two consecutive odd natural numbers it is equal to the square of the only even natural number between them.

Solve the following problems : The product of two consecutive even natural numbers is 120. Find the numbers.

Prove that the product of any three consecutive even natural numbers is divisible by 16.

The product of two consecutive odd numbers in 483. Find the numbers.

the product of two consecutive natural number is 132.find the numbers

The product of four consecutive natural numbers plus one is

The product of two consecutive numbers is 4032. Find the numbers.

The sum of two consecutive even numbers is 86. Find the numbers.