Question

The 7th term of an A.P. is $$-1$$ and its 16th term is $$17$$. The nth term of the A.P. is ______.

Options

• $$(3n + 12)$$

• $$(2n - 5)$$

• $$(3n + 5)$$

• $$(2n - 15)$$

Answer 1

The 7th term of an A.P. is $$-1$$ and its 16th term is $$17$$. The nth term of the A.P. is (2n – 15).

Explanation:

The common difference is $$\frac{17 - (-1)}{16 - 7} = 2$$, and the first term is $$-13$$. Hence $$\mathrm{T}_{n} = 2n - 15$$.