Question

Write a program to populate an array with Fibonacci numbers. The Fibonacci sequence begins with 0 and then 1 , each following number is the sum of the previous two numbers.

Answer 1

A program to populate an array with Fibonacci numbers can be created by iteratively summing the last two numbers in the sequence, understanding the mathematical beauty of Fibonacci as presented in resources like Vihart's videos and the MoMath museum.

Step-by-step explanation:

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones. It usually starts with 0 and 1. To populate an array with Fibonacci numbers, you can write a simple program that starts with these two initial values and iteratively adds new elements to the array by adding the last two numbers in the sequence. Here's an example in pseudocode:

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• Define the size of the Fibonacci array.
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• Initialize the first two elements of the array with 0 and 1.
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• Use a loop to populate the rest of the array with the sum of the last two elements.

By utilizing the concepts presented in "Doodling in Math: Spirals, Fibonacci, and Being a Plant" and "How to Count the Spirals", you can appreciate the mathematical beauty and applications of the Fibonacci sequence in areas such as natural patterns, including spirals in plants.