Question

The difference between consecutive perfect square numbers is always odd. True or false?

Answer 1

The answer is: True.

Explanation:

A perfect square number in math is an integer that can be expressed as the product of a number by itself.

The difference between each square and consecutive number, if it starts with 0, is all odd numbers, in ascending order.

The answer is: True.

Answer 2

True.

Explanation:

Consecutive square numbers can be written as:

1^2, 2^2, 3^2, 4^2, 5^2 ...

The sequence of the numbers being squared in odd, even, odd, even...

Squaring an odd number yields an odd. Squaring an even yields an even. The difference between an odd and even number is always odd. Since consecutive perfect squares are odd, even, odd... then the difference is always odd.