What is the recursive formula for the Fibonacci sequence?
Understand the Problem
The question is asking for the recursive formula that defines the Fibonacci sequence, which involves expressing the nth Fibonacci number in terms of the previous two Fibonacci numbers.
Answer
F(n) = F(n-1) + F(n-2)
The recursive formula is F(n) = F(n-1) + F(n-2).
Answer for screen readers
The recursive formula is F(n) = F(n-1) + F(n-2).
More Information
The Fibonacci sequence is formed by adding the two preceding numbers to get the next number, starting from the initial conditions F(0) = 0 and F(1) = 1.
Tips
A common mistake is using multiplication or subtraction instead of addition.
Sources
- Fibonacci Sequence - Cuemath - cuemath.com
- Fibonacci Algorithm - Vaia - vaia.com
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