A recursive sequence is a sequence in which terms are defined using one or more previous terms that are given.
If you know the term n of an arithmetic sequence and you know the common difference, d, you can find the term
by tossing the recursive formula to

We have then:

Answer:
the recursive formula for 5, 15, 30, 50, is:
an = (5/2) x (n) x (n + 1)