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Two large numbers of the Fibonacci sequence are F(50)=12,586,269,025 and F(51)=20,365,011,074. If these two numbers are added togther, what number results?

A. F(53)
B. F(52)
C. F(49)
D. F(101)

Please help fast!

Respuesta :

konrad509
[tex]F(n)=F(n-1)+F(n-2)[/tex] for [tex]n\ \textgreater \ 1[/tex]

So [tex]F(50)+F(51)=F(52)[/tex]

Answer:

B. F(52)

Step-by-step explanation:

In the Fibonacci sequence, each term is found by adding the previous two terms together.  This means that f(3) = f(2)+f(1), f(4) = f(3)+f(2), etc.

If we add f(50)+f(51), this would give us f(52).

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