6. Recursively Defined Sequences
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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).
Geometric sequence
We are given the recursive rule below. a_1=3, a_n= - 6 * a_(n-1) Since the recursive equation is of the form a_n= r* a_(n-1), it represents a geometric sequence.