Question

I guess this is an "easy" problem but what the heck? LOL

Answer 1

.222 is a "repeating decimal" and most likely doesn't stop after the third "2." Think:

.22222222222222 ....

Answer 2

Look carefully at the problem statement. What is the value of the first term? this is designated by "a".

By what do we multiply the first term to obtain the second?
By what do we multiply the second term to obtain the third?

This quantity is called the "common ratio" and is designated by r.

What's the formula for the sum of an infinite geometric series whose first term is a and whose common ratio is r?