Find the next term in the sequence

simplify complete

3 1/4, 3 3/8, 3 1/2, 3 5/8, [?] [?]/[?]

This is an arithmetic sequence because each term is 1/8 more than the previous term. This is called the common difference and it is what defines an arithmetic sequence.

a (n) = a+d (n-1), where a is 1st term, d is common difference, and n it term #

In this case:

a (n) = 3.25+0.125 (n-1) or more neatly ...

a (n) = 3.125+0.125n

a (5) = 3.75