# Middle Fibonacci Number

Let $$F_n$$ denote the $$n^\text{th}$$ Fibonacci number. If we know that $${ F }_{ 24 }=46368$$ and $${ F }_{ 28 }=317811$$, then compute $${ F }_{ 26 }$$.

Details and Assumptions:

• A Fibonacci sequence is a sequence that satisfy the recurrence relation $$F_{n+2} = F_{n+1} + F_n$$ for $$F_n \geq 1$$ with initial conditions $$F_1 = F_2 = 1$$.
• No tables nor calculators are required to solve this problem.
×