Functions
Recurrence Relations
Premium Question
Grade 12
Question:
A function satisfies $f(1) = 1$, $f(2) = 3$, and $f(x + 2) = 3f(x + 1) - 2f(x)$ for all $x \geq 1$. Find the value of $f(5)$.
Step-by-Step Solution
Key Concept: Apply the recurrence step by step: find $f(3)$, then $f(4)$, then $f(5)$.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: 31