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how to determine a recursive formula. Through recursive formulas we can solve many mathematical problems related to geometric sequences. Write the recursive formula as explicit and find the designated term.
Given a recursive formula with two initial terms write the firstndisplaystyle n n terms of a sequence. Identify the second terma 2displaystyle a_ 2 a2 which is given as. Below are several examples of recursive sequences.
D ngreenE 5maroonC 16 n-1 dn 5 16n 1.
For example to find the second term of any sequence we multiply the first term by the common ratio. Converting from an explicit formula to a recursive formula Example 1. Write the recursive formula as explicit and find the designated term. Find the common ratio.