The defining equations lead to a very simple, but horribly inefficient recursive definition in Python. But, it's pretty simple to define a straightforward and much more efficient iterative ...

def Fibonacci(n): # define our function "Fibonacci" to take one argument "n" sequence = [0, 1, 1] # create a list of the sequence to cut down on recursion for i in range(3,n+1): # create a for loop to ...

# Change this value to adjust the number of terms in the sequence.

In one way or another, these and many more creations of nature or works of man all seem to be related to a sequence of numbers named for 13th century Mathematician Leonardo Fibonacci. The earnest ...

The 4th cube number is 4 × 4 × 4 = 4³ = 64. The first three terms of a Fibonacci-type sequence are 𝑥, 𝑥 + 7 and 2𝑥 + 7. Work out an expression for the 4th term. The 𝑛th pattern has ...

Fibonacci sequences are sequences of numbers whose first two elements are 0, 1, and such that, starting from the third number, every element of the sequence is the sum of the previous two. They are of ...

Trigonometry is often aligned with right-angled triangles only. However, an understanding of trigonometry can also be extended to non-right angle triangles to find unknown sides or angles. The Sine ...

Integration is used in a wide variety of contexts. It can be used to determine areas of two-dimension regions. This can be expanded upon to find surface areas and volumes! Below are some such examples ...