Exercise 5 Page 318

• The recursive equation for an arithmetic sequence is a_n=a_(n-1)+ d.
• The recursive equation for a geometric sequence is a_n=r* a_(n-1).

We are given the recursive rule below. a_1=5, a_n=a_(n-1)-4 ⇕ a_1=5, a_n=a_(n-1)+( - 4) Since the recursive equation is of the form a_n=a_(n-1)+ d, it represents an arithmetic sequence.