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 (n + 1) by tossing the recursive formula to n + 1 = a n + d
We have then:
5, 15, 30, 50
an = (5/2) * (n) * (n + 1)
Answer:
the recursive formula for 5, 15, 30, 50, is:
an = (5/2) * (n) * (n + 1)