Exercise · ZW-RECURRENCE-RELATION-002 · ★☆☆ Basic
Let \(a_0=a_1=1\) and \(a_n=a_{n-1}+a_{n-2}\). What is \(a_6\)?
Choose one option.
Show answer
- D. 13
Explanation
The sequence is \(1,1,2,3,5,8,13\), so \(a_6=13\).
Review the concept: Recurrence relation
A recurrence relation is an equation that expresses each term \(a_n\) of a sequence in terms of the previous \(k\) terms; with initial values, it determines the whole sequence.
\[a_n=f(a_{n-1},a_{n-2},\dots,a_{n-k})\]
More practice problems: recurrence relation
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