1. How many squares would 100th case have?
2. Which case would have 289 squares?

Answer:
case 1 = 4
case 2 = 9
case 3 = 16
The results are squares.
case 100 = 10201
solution:
case 1 = 2²
case 2 = 3²
case 3 = 4²
case 100 = 101²
101² = 10201
case 17 = 289
solution:
√289 = 17.