findTriangularNumbersInRange()

Step 1: Understand the Problem

We want to create a Java function, findTriangularNumbersRange, which will take two input parameters: min and max. This function will generate all the triangular numbers between these two numbers. A triangular number is a number that can form an equilateral triangle. The nth triangular number is the number of dots in the equilateral triangle with n dots on a side, and is equal to the sum of the n natural numbers from 1 to n.

public class Main {
    static void findTriangularNumbersRange(int min, int max) {
        //code to be implemented 
    }
}

Step 2: Calculating a Triangular Number

We can calculate the nth triangular number by using the formula: n*(n+1)/2

Step 3: Define the Parameters

We want our function to continue to calculate triangular numbers until the result is less than or equal to max.

Step 4: Implement the Function

We'll start with n at 0 and increment after each loop. Don't forget to check if the result is greater than or equal to min before printing.

public class Main {
    static void findTriangularNumbersRange(int min, int max) {
        int n = 0;
        while (true) {
            int triangularNumber = n*(n+1)/2;
            if (triangularNumber > max) {
                break;
            }
            if (triangularNumber >= min) {
                System.out.println(triangularNumber);
            }
            n++;
        }
    }
}

Step 5: Conclusion

We successfully created a function to find triangular numbers between a given range. It works by using the formula for finding triangular numbers, and continues until the triangular number calculated is greater than max. The function also checks to make sure the triangular number is greater than or equal to min before printing.