Fibonacci numbers are a sequence of whole numbers

The rule for the Fibonacci numbers is given as :

The first number in the Fibonacci sequence is given as x_{0}=0

The second number in the Fibonacci sequence is given as x_{1}=1

The third number in the Fibonacci sequence is x{3} = x_{2} + x_{1}

The rule for Fibonacci numbers, if explained in simple terms, says that every number in the sequence is the sum of two numbers preceding it in the sequence.

Fibonacci numbers are a sequence of whole numbers arranged as follows:

So

x_{17} = x_{15}+ x_{16} = 610 + 987 = 1,597

x_{18} = x_{16} + x_{17} = 987 + 1,597 = 2,584

x_{19} =x_{17}+x_{18} = 1,597 + 2,584 = 4,181

x_{20} = x_{18} + x_{19} = 2,584 + 4,181 = 6,765

**Therefore the least value of n for which x**_{n}** > 5,000 is n = 20****.**

I found an answer from en.wikipedia.org

**Fibonacci number** - Wikipedia

In mathematics, the **Fibonacci numbers**, commonly denoted Fn, form a sequence,
called the ... **Fibonacci numbers** are strongly related to the **golden ratio**: Binet's
formula expresses the nth **Fibonacci number** in ... arguments using the fact that F
n can be interpreted as the number of **sequences** of 1s and 2s that sum to n − 1.

For more information, see **Fibonacci number** - Wikipedia