# How do you find the first five terms of the arithmetic sequence given a_1=12 and d=-3?

Jan 17, 2017

$12 , 9 , 6 , 3 , 0$

#### Explanation:

The general form of an arithmetic sequence is.

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

Where a is the first term and d, the common difference.

Note then that each term in the sequence is generated by adding the common difference (d) to the previous term.

$\text{here } {a}_{1} = 12$

$\Rightarrow {a}_{2} = 12 + \left(- 3\right) = 12 - 3 = 9$

${a}_{3} = 9 - 3 = 6 \text{ and so on}$