Question

How do you write a rule for the nth term of the arithmetic sequence and then find `a_22` given `5/8, 5/4, 15/8, 5/2,...`?

Answer 1

If we write everything with `8` as a denominator it's easier:

Explanation:

`5/8,10/8,15/8,20/8...`

So apparently the formula is `a_n=(5xxn)/8`

So `a_22=(5xx22)/8=110/8`

Which can also be written as `a_22=55/4or13 3/4` as you wish.