# How do you find the arithmetic means for the sequence -8, __, __, __, -24?

Nov 13, 2016

$- 4$ is being added after each term to get the next term in the sequence.

#### Explanation:

"Arithmetic means" means that a constant number is being added again and again to create a sequence.

Let "the number" = n

We know that $n$ is negative because the numbers in the sequence are getting more negative.

$n = \frac{\left(- 24\right) - \left(- 8\right)}{4}$
(The denominator of 4 comes from the 4 times a number has to be added)

$n = \frac{- 16}{4}$

$n = - 4$