Consider the following sequence. 0​, 1​, 3​, 6​, 10​, 15​, 21​,...
​(a) List the next two terms of the sequence.
​(b) Assuming the sequence is denoted by A 1, A 2, A 3 ,​..., give an explicit formula for AN.
​(c) Assuming the sequence is denoted by P0, P1, P2,​..., give an explicit formula for PN.