Question

The first term of an A.P. is $$p$$ and its common difference is $$q$$. The 10th term of the A.P. is ______.

Options

• $$p - 9q$$

• $$p + 10q$$

• $$p - 10q$$

• $$p + 9q$$

Answer 1

The first term of an A.P. is $$p$$ and its common difference is $$q$$. The 10th term of the A.P. is p + 9q.

Explanation:

Using the general term,

$$\mathrm{T}_{10} = p + (10 - 1)q$$

$$= p + 9q$$