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The Fibonacci sequence is F(n) = F(n – 1) + F(n – 2).If F(8) = 21 and F(9) = 34, which of the following is true?A.F(10) = 55B.F(13) = 21C.F(10) = 53D.F(17) = 55

Question

The Fibonacci sequence is F(n) = F(n – 1) + F(n – 2).If F(8) = 21 and F(9) = 34, which of the following is true?A.F(10) = 55B.F(13) = 21C.F(10) = 53D.F(17) = 55

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Solution

The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1. In this case, the formula is given as F(n) = F(n – 1) + F(n – 2).

Given that F(8) = 21 and F(9) = 34, we can find F(10) by adding F(9) and F(8).

So, F(10) = F(9) + F(8) = 34 + 21 = 55

Therefore, option A. F(10) = 55 is the correct answer.

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What is the value of the 34th term in the Fibonacci sequence?

1/3

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