The value of F₅ in the given Fibonacci sequence is 5, i.e. option A is the correct answer.
What is the Fibonacci sequence?
Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones.
i.e.
[tex]F_n = F_{n-1} + F_{n-2}[/tex]
We have,
Fibonacci sequence {0, 1, 1, 2, 3, 5, 8, ...}
i.e.
F₁ = 0, F₁ = 1, F₂ = 1, F₃ = 2, F₄ = 3, F₅ = 5, F₆ = 8
Now,
We have to find the value of F₅,
Here, for n = 5,
i.e.
[tex]F_5 = F_{5-1} + F_{5-2}[/tex]
i.e.
F₅ = F₄ + F₃
So,
F₅ = 3 + 2
So,
We get,
F₅ = 5
So, the value of F₅ for the given sequence is F₅.
Hence, we can say that the value of F₅ in the given Fibonacci sequence is 5, i.e. option A is the correct answer.
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