Question

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

Answer 1

`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 +(n-1)d`

So it would be:

`a_n = 2.5 +(135-1)2.5`

which equals `color(blue)(337.5`

I hope that helps!