fibonacci sequence

Front

What is the Fibonacci sequence?

Back

A series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1.

Front

What is the first five numbers in the Fibonacci sequence?

Back

0, 1, 1, 2, 3.

Front

What is the formula to find the nth Fibonacci number?

Back

F(n) = F(n-1) + F(n-2) with F(0) = 0 and F(1) = 1.

Front

What is the relationship between the Fibonacci sequence and the Golden Ratio?

Back

As the Fibonacci numbers increase, the ratio of consecutive Fibonacci numbers approaches the Golden Ratio (approximately 1.618).

Front

Who introduced the Fibonacci sequence to the Western world?

Back

Leonardo Pisano, also known as Fibonacci.

Front

What is the Golden Ratio symbol?

Back

Phi (Φ).

Front

Is the Golden Ratio a rational number?

Back

No, the Golden Ratio is an irrational number.

Front

In which country was Fibonacci born?

Back

Italy.

Front

What is the approximate value of the Golden Ratio?

Back

1.61803398875….

Front

How can the Fibonacci sequence be visually represented?

Back

It can be represented using a spiral, where each quarter turn corresponds to a Fibonacci number.