Question

The first term of an A.P. is $$7$$ and the common difference is $$3$$. The general term of the A.P. is ______.

Options

• $$\mathrm{T}_{n}=3n-4$$

• $$\mathrm{T}_{n}=2n+5$$

• $$\mathrm{T}_{n}=3n+4$$

• none of these

Answer 1

The first term of an A.P. is $$7$$ and the common difference is $$3$$. The general term of the A.P. is `underlinebb(T_n = 3n + 4)`.

Explanation:

$$\mathrm{T}_{n} = a + (n - 1)d$$

$$= 7 + 3(n - 1)$$

$$= 3n + 4$$