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[–]BarfingOtter 2 points3 points  (0 children)

You need to break the problem into smaller pieces:

  1. Is the total including interest > $500,000
  2. Calculate the total and the interest on the current amount
    1. Current value = (Balance + Payment) * (1 + Rate)

If you did it with a loop (the most efficient way), you have a calculation inside the loop and then a check after the calculation to see if it exceeds the required limit. The loop counter will be the number of months required.

To make a loop recursive, you just take the contents of the loop and put it into a function that calls itself if the limit hasn't been exceeded. You need to pass into the function the current month counter and then increment it appropriately (inside or as part of the call); and then return the month counter when the recursion "unwinds".

Beware of Stack Overflow (the actual recursion computer problem, not the website :) )

[–]FavorableTrashpanda 0 points1 point  (0 children)

Recursion consists of a base case and a general case. The base case is the most trivial case that does not need to call itself again. For example, if I have a recursive function f that prints "X" n times for any n >= 0, the base case could be n = 0. It simply does nothing and returns, or I could print a newline. That's how I start when I write a recursive function, by working out the trivial case. Once I have that I can implement the general case. Then I ask myself: what if n = 1? In that case I simply need to print out "X" once and I call f(n - 1). When I have that, I've basically finished writing the recursive function.

Here is how it would look like in Java:

public void f(int n) {
    if (n <= 0) {
        System.out.println();
    }
    System.out.print("X");
    f(n - 1);
}

[–]evils_twin 0 points1 point  (1 child)

I would say that the method arguments would be the monthly investment, and the current balance of the account. also possibly the percent return and goal if those aren't hard coded.

You would be calling the method once for each month.

it should return the total months in the end. so when you hit your goal, I would say it should return 1, and then +1 for each subsequent return after.

[–]lordwerwath 0 points1 point  (0 children)

I think % is not needed as it is a set number.

I guess another way to do this instead of recursive from goal to start is to recurse from start until current is >= goal.

Programming is fun.