Recurrence Relation
An equation that defines a sequence based on its previous terms.
Definition
A recurrence relation for a sequence \(\{a_n\}\) is an equation of the form:
\[a_n = f(a_{n-1}, a_{n-2}, \ldots, a_{n-k})\]
Example: Fibonacci Sequence
\[F_n = F_{n-1} + F_{n-2} \quad \text{with} \quad F_0 = 0, F_1 = 1\]
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