java
Parameters: int start, int end
Start and end of range for Fibonacci sequence
Returns: List<Integer> - list of Fibonacci numbers between start and end
The function findFibonacciNumbersRange returns an array list of Fibonacci numbers within a given range. It uses the concepts of iteration and recursion in Java.
Hello fellow programmer, hope this post finds you well. In this post, you will walk through the steps to create a function in Java that finds the Fibonacci series within a range. It's fairly simple and lucid, ensuring you grasp the entire concept easily. Structured carefully for beginners and intermediates. It's time to dive into the world of Fibonacci series!
The function we need to implement needs to generate a specified range of Fibonacci series numbers. The Fibonacci series is a series of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1.
We know that a Fibonacci sequence can be generated using a loop. We need two variables to hold the last two numbers in the sequence, and a variable to get the next number. We also need an integer type array to hold the generated sequence, so that we can return it at the end.
public static int[] findFibonacciNumbersInRange(int range) {
int[] fibonacciNumbers = new int[range];
int nextNumber, lastNumber = 1, secondLastNumber = 0;
}
Now, we need to implement the logic for generating the Fibonacci sequence within a loop.
public static int[] findFibonacciNumbersInRange(int range) {
int[] fibonacciNumbers = new int[range];
int nextNumber, lastNumber = 1, secondLastNumber = 0;
for (int i = 0; i < range; i++) {
if (i <= 1) {
nextNumber = i;
} else {
nextNumber = lastNumber + secondLastNumber;
secondLastNumber = lastNumber;
lastNumber = nextNumber;
}
fibonacciNumbers[i] = nextNumber;
}
return fibonacciNumbers;
}
The above function can be tested by calling it with the required range. For instance, findFibonacciNumbersInRange(10)
should return the first 10 numbers of the Fibonacci series: [0, 1, 1, 2, 3, 5, 8, 13, 21, 34]
.
By changing a few variables and adding a loop, we implemented a Fibonacci sequence generator for any given range. This solution works for positive range values. If you wish to handle negative or zero values, you can add more control statements.
The Fibonacci Sequence is a series of numbers where the next number is found by adding up the two numbers before it. The sequence starts with 0 and 1. In terms of code: `fib(0) = 0`, `fib(1) = 1`, `fib(n) = fib(n-1) + fib(n-2)` for n > 1.
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