Two consecutive perfect squares have a difference of $99$. what is the value of the larger perfect square?

2500

Step-by-step explanation:

Let the first square number be then the next square number is .

The difference between these two consecutive numbers is 99.

This implies that:

We expand to get:

Simplify:

Divide both sides by 2

Therefore the value of the larger perfect number is

.

good for u

step-by-step explanation:

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.