Fibonacci Sequence

Front

What is the Fibonacci Sequence?

Back

A sequence 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 seed values F(0) = 0, F(1) = 1.

Front

Who is the Fibonacci Sequence named after?

Back

Leonardo of Pisa, an Italian mathematician.

Front

What is the significance of the Fibonacci Sequence in nature?

Back

It appears in various natural phenomena, such as the arrangement of leaves, the branching of trees, and the flowering of artichokes.

Front

Is the Fibonacci Sequence an arithmetic sequence?

Back

No, it is not an arithmetic sequence because the difference between consecutive terms is not constant.

Front

Is the Fibonacci Sequence a geometric sequence?

Back

No, it is not a geometric sequence because the ratio between consecutive terms is not constant.

Front

What is the next number in the Fibonacci Sequence after 21?

Back

34

Front

How does the Fibonacci Sequence relate to the Golden Ratio?

Back

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

Front

What is a real-world application of the Fibonacci Sequence?

Back

It is used in computer algorithms, financial markets, and modeling population growth.