Question 1: The sequence of non-square numbers begins 2, 3, 5, 6, 7, 8, 10, 11, . . . a) What’s the 100th non-square number?
b) Find the formula for the nth non-square number.

Question 2: The sequence of non-triangular numbers begins 2, 4, 5, 7, 8, 9, 11, 12, . . . a) Find a formula for the nth triangular number.
b) What is the 100th non-triangular number?
c) Find a formula for the nth non-triangular number.