# How do you find the next three terms of the arithmetic sequence 2.5, 5, 7.5, 10,...?

Mar 14, 2018

$12.5 , 15 , 17.5$

#### Explanation:

The sequence is using a sequence where it increases by $2.5$ each time. For a short answer where you are only looking for the next three terms you can just add it up, or if you need to find an answer that is, for example, $135$th in the sequence using the equation:

${a}_{n} = {a}_{1} + \left(n - 1\right) d$

So it would be:

${a}_{n} = 2.5 + \left(135 - 1\right) 2.5$

which equals color(blue)(337.5

I hope that helps!