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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?
O A. F(54)
O B. F(51)
O C. F(52)
D. F(99)
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Respuesta :

Answer: Choice B

F(51)

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Explanation:

The very large numbers are likely put there as a distraction. They aren't needed. Adding any two adjacent Fibonacci numbers will lead to the next term in the sequence. This is simply based on how the special number sequence is defined or set up.

This means F(49)+F(50) = F(51) i.e. adding the 49th and 50th terms will generate the 51st term.

In general,

F(n) + F(n+1) = F(n+2)

where n is a positive integer.

i got b for my answer
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