Practice Problems on Fibonacci Sequence Formula
1. Find the sum of the first 7 terms of the Fibonacci sequence.
2. If the 6th term in the Fibonacci sequence is 8, find the 7th and 8th terms.
3. Find the ratio of the 9th term to the 8th term in the Fibonacci sequence. Simplify your answer if possible.
4. A pair of rabbits mates every month and produces a new pair every month from the second month onwards. If one pair of rabbits starts the sequence, how many pairs of rabbits will there be at the end of 6 months?
Fibonacci Sequence Formula
Fibonacci Sequence Formula: Fibonacci sequence, the sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21, …, each of which, after the second, is the sum of the two previous numbers; that is, the nth Fibonacci number Fn = Fn − 1 + Fn − 2.
In the Fibonacci sequence, each number in the series is calculated by adding the two numbers before it. Generally, the first two terms of the Fibonacci series are 0 and 1. The Fibonacci sequence was known in India hundreds of years before Leonardo Pisano Bigollo knew about it. November 23rd is celebrated as Fibonacci Day, as it has the digits “1, 1, 2, 3” which is part of the sequence
In this article, we will learn about the Fibonacci Sequence, along with its formula, examples, golden ratio, etc.
Fibonacci Sequence Formula
Table of Content
- What is the Fibonacci Sequence?
- Fibonacci Sequence Formula
- Golden Ratio
- Calculating the Fibonacci sequence
- Fibonacci Sequence Examples
- Practice Problems on Fibonacci Sequence Formula