46-C++ Program For Fibonacci Numbers | Data Structures and Algorithms in C/C++
Автор: Professional Skill 2023
Загружено: 2025-06-01
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C++ Program For Fibonacci Numbers
The Fibonacci series is the sequence where each number is the sum of the previous two numbers. The first two numbers of the Fibonacci series are 0 and 1, and they are used to generate the entire series.
Examples:
Input: 5
Output: 5
Explanation: As 5 is the 5th Fibonacci number of series 0, 1, 1, 2, 3, 5, 8, 13.... (0-based indexing)
Input: 1
Output: 1
Explanation: As 1 is the 1st Fibonacci number of series 0, 1, 1, 2, 3, 5, 8, 13.... (0-based indexing)
It is a unique sequence of positive of numbers in which each number is the sum of the two preceding numbers. It starts with 0, followed by 1, and the sequence goes on as shown above. In mathematical terms, the nth term of the Fibonacci sequence is given by the formula:
You can also explore: Understanding Inline Function in C++
F(n) = F(n-1) + F(n-2)
Where, F(0) = 0 and F(1) = 1.
The Fibonacci sequence is named after the Italian mathematician Leonardo Fibonacci, who first introduced it to the Western world in his book “Liber Abaci” written in 1202. The sequence has been widely used in various areas of mathematics, science, art, and nature, and it appears in many real-life situations such as the growth of populations, spirals in sunflowers, pine cones, and shells, etc.
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