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Hello helper Question Write a program that recursively calculates the following

ID: 3681902 • Letter: H

Question

Hello helper Question Write a program that recursively calculates the following series: m(i) = 1 + 4 + 6 + _8 + … + __2i__ 5 8 11 3i - 1

Write a test program that demonstrates the procedure for i = 1 to 10 using a loop. This from Intro to Java Programing breif version 10th Edition In chapter 18 Recursion . I need the answer as soon as possible .

Thanks

Write a program that recursively calculates the following series: 1 +4 +6 8+ .2i 5 8 11 3i -1 Write a test program that demonstrates the procedure for i = 1 to 10 using a loop.

Explanation / Answer

public class SeriesSum {
  
   // this method will take i value and return sum of series up to ith terms.
   public static double seriesSum(int i){
      
       double sum = 0; // initializing sum
      
       for(int j=1; j<=i; j++){ // from 1 to i
          
           sum = sum + ((double)(2*j))/(3*j-1);
       }
      
       return sum;
   }
   public static void main(String[] args) {
      
       // testing seriesSum method with i value from 1 to 10
       for(int i=1; i<=10; i++){
          
           double sum = seriesSum(i);
          
           System.out.println("Sum of first "+i+" terms of series: "+String.format("%.3f", sum));
       }
   }

}


/*

Sample Run:

Sum of first 1 terms of series: 1.000
Sum of first 2 terms of series: 1.800
Sum of first 3 terms of series: 2.550
Sum of first 4 terms of series: 3.277
Sum of first 5 terms of series: 3.992
Sum of first 6 terms of series: 4.697
Sum of first 7 terms of series: 5.397
Sum of first 8 terms of series: 6.093
Sum of first 9 terms of series: 6.785
Sum of first 10 terms of series: 7.475

*/

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