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/*fileName:P5Q11.java
*Name:Wang Chaoran
* Description:
11 (Summing series)
Write a method to compute the following series:
Write a test program that displays the following table:
i m(i)
2 0.5
3 1.1667
...
19 15.4523
20 16.4023

*/
public class P5Q11{
  public static void main(String[] args){
    System.out.println("i       m(i)");
    for(int i=2;i<=20;i++){
      System.out.print(i+"     ");
      if(i<10)
        System.out.print(" ");
      System.out.printf("%-6.4f",m(i));
      System.out.println();
    }
  }
  public static double m(int i){
  double sum=1;
  for(double j=2;j<=i;j++){
        sum += -1/(2*j-1)+1/(2*j+1);
  }
  return sum*4;
}
}