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March 3rd, 2017, 05:50 AM  #1 
Newbie Joined: Dec 2016 From: Netherlands Posts: 15 Thanks: 0  java programming incorrect answer
i have to write a program that gives the summation of 1/i for any given i. i came up with the following program but for some reason it always provides the answer 1.0, can someone tell me what is wrong here? import java.util.Scanner; class Series{ Scanner sc = new Scanner(System.in); double series(int i){ if (i==1) return 1; else return 1/(i*i) + series(i1); } public void demo(){ int i; System.out.println("Provide a number to compute the series for"); i = sc.nextInt(); System.out.println("series of " + i + " is " + series(i)); } public static void main(String[] args) { new Series().demo(); } } 
March 3rd, 2017, 06:33 AM  #2 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,419 Thanks: 830  
March 3rd, 2017, 06:53 AM  #3 
Newbie Joined: Feb 2017 From: Netherlands Posts: 8 Thanks: 2 Math Focus: Trigonometry and complex numbers 
Assuming $\displaystyle i$ is a variable and not the imaginary unit: $\displaystyle \sum_{i=0}^\infty \frac{\alpha}i = \infty \thinspace \text{if} \thinspace \alpha\ne{0} \thinspace \wedge \thinspace i\ne{0}$ This can be proven with the harmonic series test. So what do you mean exactly? If you mean just $\displaystyle \frac{1}i$ you can use $\displaystyle i^{1}$ 
March 3rd, 2017, 09:25 AM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 466 Math Focus: Calculus/ODEs 
I believe the OP's program is supposed to find: $\displaystyle S_i=\sum_{k=1}^{i}\left(\frac{1}{k}\right)$ It looks to me though, the algorithm coded would provide: $\displaystyle S_i=\sum_{k=1}^{i}\left(\frac{1}{k^2}\right)$ However, I'm not a Java programmer. 
March 3rd, 2017, 09:46 AM  #5 
Member Joined: Jan 2016 From: Athens, OH Posts: 88 Thanks: 47 
Your only error is in method series. You said i is an int, so 1/i*i is 0 for any i>1! So just change 1/i*i to 1.0/i*i. By the way I am surprised that your program runs as given. I thought main had to be within a public class? 

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