The simple concept to find the Fibonacci series is; add two previous term and get next term.
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Welcome to an exciting adventure into the captivating world of Fibonacci series with PHP! Have you ever wondered about the fascinating patterns hidden within numbers?
The Fibonacci series holds the key to unlocking a mathematical marvel that has delighted minds for ages. We embark on a journey to demystify the Fibonacci series, understand its secrets, and learn how to implement it using PHP.
Get ready to embark on a friendly exploration of numbers and witness the magic of Fibonacci unfold before your eyes!
Understand Fibonacci Series:
In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and characterized by the fact that every number in it is the sum of the two preceding ones:
By definition, the first two numbers in the Fibonacci sequence are either 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two.
Fibonacci considers the growth of an idealized (biologically unrealistic) Rabbit population, assuming that: a newly born pair of rabbits, one male, one female, are put in a field; rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits; rabbits never die and a mating pair always produces one new pair (one male, one female) every month from the second month on. The puzzle that Fibonacci posed was: how many pairs will there be in one year?
- At the end of the first month, they mate, but there is still only 1 pair.
- At the end of the second month the female produces a new pair, so now there are 2 pairs of rabbits in the field.
- At the end of the third month, the original female produces a second pair, making 3 pairs in all in the field.
- At the end of the fourth month, the original female has produced yet another new pair, the female born two months ago produces her first pair also, making 5 pairs.
The Fibonacci Sequence is the series of numbers:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, …
Fibonacci series Example Program
The Fibonacci series is a sequence of numbers where each number is the sum of the two preceding numbers. The sequence starts with 0 and 1, and the next numbers in the sequence are 1, 2, 3, 5, 8, 13, 21, and so on.
The Fibonacci series is named after Leonardo Fibonacci, an Italian mathematician who introduced the sequence to Europe in the 13th century. Fibonacci learned about the sequence from Arabic mathematicians, who had developed it centuries earlier.
The Fibonacci series has also been found to have applications in computer science, finance, and other fields. For example, the Fibonacci sequence can be used to generate random numbers, to create efficient algorithms, and to model the growth of populations.
Following is a program in PHP to print Fibonacci series . 0, 1, 1, 2, 3, 5, 8, 13, 21, 34
<?PHP
$first = 0;
$second = 1;
echo $first.' ,';
echo $second.' ,';
for($limit=0;$limit<10;$limit++)
{
$third = $first+$second;
echo $third.' ,';;
$first = $second;
$second = $third;
}
?>
Conclusion:
Congratulations on embarking on this exciting journey into the world of Fibonacci series with PHP! We’ve unravelled the mystery behind the sequence, learned how to generate it in PHP, and explored its fun and practical applications.
Now armed with the power of Fibonacci numbers, you can add a touch of magic to your PHP projects, creating intriguing patterns and finding creative solutions.
Embrace the beauty of numbers and let the enchantment of the Fibonacci series inspire your coding adventures!
I hope this article helps you!
