How do you find the next three terms of the arithmetic sequence -13, -11, -9, -7,...?

Jul 31, 2017

$- 5 , - 3 , - 1$

Explanation:

$\text{the terms in an arithmetic sequence are}$

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

$\text{where d is the common difference}$

$\text{here } d = - 11 - \left(- 13\right) = 2$

$\text{to obtain a term from the previous term add on d}$

$\Rightarrow {a}_{5} = - 7 + 2 = - 5$

$\Rightarrow {a}_{6} = - 5 + 2 = - 3$

$\Rightarrow {a}_{7} = - 3 + 2 = - 1$