![]() A recursive formula allows us to find any term of a geometric sequence by using the previous term. Find the recursive formula of the sequence. Using Recursive Formulas for Geometric Sequences. The common relation we have to find the relationship between a term and the term that precedes it. Sal solves the following problem: The explicit formula of a geometric sequence is g(x)98(x-1). ![]() The first term of the geometric sequence is a -3. The store is required to reveal (in the fine print) the distribution of discounts available. Determine if the sequence is geometric (Do you multiply, or divide, the same amount from one term to the next) 2. To get the next term we multiply the previous term by r. ![]() Many stores run “secret sales": Shoppers receive cards that determine how large a discount they get, but the percentage is revealed by scratching off that black stuff (what is that?) only after the purchase has been totaled at the cash register. To summarize the process of writing a recursive formula for a geometric sequence: 1. The recursive definition for the geometric sequence with initial term a and common ratio r is an an r a0 a.
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