Given these two numbers of the Fibonacci Sequence:
[tex]F(49)=7,778,742,049[/tex][tex]F(50)=12,586,269,025[/tex]
You need to remember that each value in the Fibonacci Sequence is obtained by adding the two previous values.
This is the part of the Fibonacci series:
[tex]0,1,1,2,3,...[/tex]
Knowing the above, you can determine the number in the following position:
[tex]n=51[/tex]
can be obtained by adding the numbers in these positions:
[tex]n=49\text{ }and\text{ }n=50[/tex]
Therefore, the answer is: Option D.
