# How do you find the term n=14, given the arithmetic sequence a_1=3 and d=7?

Dec 9, 2016

${a}_{14} = 94$

#### Explanation:

For a standard arithmetic sequence.

$a , a + d , a + 2 d , a + 3 d , \ldots \ldots . . , a + \left(n - 1\right) d$

$\text{where " a=a_1,"common difference " =d" and }$

$\text{ the nth term is } a + \left(n - 1\right) d$

Here ${a}_{1} = 3 , d = 7 \text{ and } n = 14$

$\Rightarrow {a}_{14} = 3 + \left(13 \times 7\right) = 94$