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The following geometric arrays suggest a...

The following geometric arrays suggest a sequence of numbers.
(a) Find the next three terms .
(b) Find the `100^(th)` term .
(c) Find the `n^(th)` term .

The dots here arranged in such a way that they form a rectangle. Here `T_1 =2 , T_2 = 6 , T_3 = 12 , T_4 = 20` and so on. Cay you guess what `T_5` is ? What about `T_6` ? What about `T_n` ?
Make a conjecture about `T_n` .

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