Question

two large numbers of the fibonacci sequence are f(49) = 7,778,742,049 and f(50) = 12,586,269,025. if these two numbers are added together, what number results? a. f(52) b. f(99) c. f(51) d. f(54)

Explanation:

Step1: Recall Fibonacci rule

The Fibonacci sequence follows $F(n) = F(n-1) + F(n-2)$ for $n \geq 3$.

Step2: Apply rule to given terms

For $n=51$, $F(51) = F(50) + F(49)$.

Step3: Match to the question

The question asks for $F(49) + F(50)$, which equals $F(51)$.

Answer:

C. F(51)