Question

If the sum of $$n$$ terms of an arithmetic progression $$\mathrm{S}_{n} = n^{2} - n$$, then the third term of the series is ______.

Options

• $$2$$

• $$4$$

• $$6$$

• $$9$$

Answer 1

If the sum of $$n$$ terms of an arithmetic progression $$\mathrm{S}_{n} = n^{2} - n$$, then the third term of the series is 4.

Explanation:

$$\mathrm{T}_{3} = \mathrm{S}_{3} - \mathrm{S}_{2}$$

$$= (9 - 3) - (4 - 2)$$

$$= 4$$