Recursive Sequence

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In a certain sequence, the term is given by the formula for all . If and , what is the value of ?

Review: Recursive Sequence


Explanation

In this question, we must first glean that the value of a number of this sequence depends on the two prior values (in other words, it's recursive). That's what the subscript notation is telling us. We want , but we don't have , so we must first find . Applying the definition,





Now we apply the definition again to get :





The correct answer is (B).


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