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

1 Answer
Mar 14, 2018

Answer:

#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!