Learn more on Fibonacci Sequence

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Overview of the Fibonacci Sequence and its characteristics

3,077 students enrolled

What Will I Learn?

- Know who is Fibonacci
- Understand the growing rabbit population problem
- Know what is a Fibonacci sequence
- Understand how to perform mathematical induction
- Know the golden ratio
- Know the relationship between Fibonacci sequence and golden ratio
- Know Binet's Formula
- Know what is a Fibonacci Q matrix
- Understand Cassini identity
- Characteristics of the Fibonacci Sequence

Requirements

- Willingness to learn

Description

The course will address the Fibonacci Sequence.

It will address who is Fibonacci and how is the sequence generated through recursion. We’ll see that different problems in life have solutions referred to Fibonacci Numbers (We’ll see an example related to climbing a stair case).

Moreover, we’ll learn about the Golden number (also known as Golden ratio or divine number). How divine is this divine number?!

Binet came up with a method to calculate the numbers in the Fibonacci Sequence non recursively. We'll investigate Binet's formula and how he came up with it.

Moreover, the course discusses the various characteristics of the sequence such as the Cassini's Identity. Cassini's identity presents an arithmetic relationship between various Fibonacci Numbers.

We'll investigate the formula to simply the sum of the first "n" Fibonacci numbers.

Who is the target audience?

- This course is meant for students who are not familiar with with Fibonacci Sequence and/or need students who are looking for a refresher on the sequence. Basic Mathematics is sufficient.

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