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

Who is known for introducing the Fibonacci sequence to the Western world?

Back

Leonardo Pisano, also known as Fibonacci.

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

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 patterns of various fruits and flowers.

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

What is the second number in the Fibonacci sequence?

Back

1

Front

What is the sum of the first six Fibonacci numbers?

Back

0 + 1 + 1 + 2 + 3 + 5 = 12.

Front

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

Back

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

Front

What is the Fibonacci spiral?

Back

A logarithmic spiral that grows outward by a factor of the Golden Ratio for every quarter turn it makes.