Question

Lily was building towers with her Legos. The first tower that she built had only one LEGO. The second tower had 4 LEGO’s. The towers she built after that had 9 and then 16 LEGO’s. How many LEGO’s would Lily’s 100th tower have?

Answer 1

Here is the pattern of Lily's towers in the form of x, y:

1, 1

2, 4

3, 9

4, 16

The equation x^2 fits for this problem, so 100^2 would mean it would take 10,000 LEGOS to build the 100th tower.