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RecurrenceRelation.md (469B)


      1 # Recurrence Relation
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      3 U2.4.2
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      5 **Definition:** A recurrence relation is an equation that expresses some a_n in terms of one or more prior terms from the sequence. As such, we must specify initial conditinos such that the sequence can be calculated (think basecase).
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      7 Note: The relation is an equation but the result and necessary information to find the next value is a sequence.
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      9 Ex:
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     11 $a_n = a_{n-1} + 2a_{n-2}$ for $n \geq 2$ where (basecase) $a_0 =2$ and $a_1 =5$.