java

findFibonacciNumbersRange()

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.

Iterative Statements
Recursion
Array List
Integer Data Type
Functions
Medium dificulty

Generating a Fibonacci Sequence within a Range using 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!

Step 1: Understanding the Problem

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.

Step 2: Planning the Solution

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;
}

Step 3: Implementing the Fibonacci Sequence Generation Logic

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;
}

Step 4: Testing the Function

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].

Step 5: Final Thoughts

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.

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Fibonacci sequence range

This generates a Fibonacci sequence within a given range.

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Mathematical principle

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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