Question

3,7,56,200,489,?

WHO ANSWERED THIS QUESTION PROPERLY I WILL MARK THEM AS BRAINLIEST ANSWER​

Answer 1

The next number in the given series will be 973.

Step-by-step explanation:

3, 7, 56, 200, 489,.......

3 + $2^{2}$ = 3 + 4 = 7.

7 + $7^{2}$ = 7 + 49 = 56.

56 + $12^{2}$ = 56 + 144 = 200.

200 + $17^{2}$ = 200 + 289 = 489.

In this way, $2^{2}, 7^{2}, 12^{2}, 17^{2}$ next will be $22^{2}$. Because the gap between every number 2, 7, 12, 17, 22 is 5.

So, 489 + $22^{2}$ = 489 + 484 = 973.

Hence, the next number in the given series will be 973.