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How to solve any sum of series program with nested loops

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1. Write a java program to print sum of following series: 

series1.jpg

Code: 

import java.util.Scanner;
public class NetedLoopSeries
{
    public static void main(String[] args) 
    {
         double sum=0;
Scanner sc = new Scanner(System.in);
System.out.print("Enter Number:");
int n = sc.nextInt();
int x = sc.nextInt();
for(int i=1, a=1, d=9; i<=n; i++, a+=2, d+=4){
int fact=1;
for(int j=1; j<=d; j++)
fact = fact*j;
sum=sum + Math.pow(x,a)/fact;
}
System.out.println("Sum: "+sum);
}
    }
}

2. Write a java program to print following sum of series:

   (9! + 13 ! + 17! … N)

Code: 

import java.util.Scanner;
public class SumOfSeries
{
    public static void main(String[] args) 
    {
          int sum=0;
          Scanner sc = new Scanner(System.in);
          System.out.print("Enter Number:");
          int n = sc.nextInt();
          for(int i=1, a=9; i<=n; i++, a+=4{
               int fact=1;
               for(int j=1; j<=a; j++)
                     fact = fact*j;
               sum = sum+fact;
          }
          System.out.println("Sum: "+sum);
     }
}

3. Write a java program to print following sum of series:

Geometric series

Code: 

import java.util.Scanner;
public class GeometricSeries {
  public static void main(String[] args) {
    int sum=0; 
    Scanner sc = new Scanner(System.in);
    System.out.print("Enter Number :" );
    int n= sc.nextInt();
    for(int i=1, k=2; i<=n; i++, k*=2){
      sum= sum + k ;
    }
    System.out.print("Sum : "+sum);
  }
}

4. Write a java program to print following sum of series:

(2! + 4! + 8! + 16! +… N)

Code: 

import java.util.Scanner;
public class SumOfSeries:
{
    public static void main(String[] args) 
    {
          int sum = 0;
          Scanner sc = new Scanner(System.in);
          System.out.print("Enter Number:");
          int n = sc.nextInt();
          for(int i=1, a=2; i<=n; i++, a*=2{
               int fact=1;
               for(int j=1; j<=a; j++)
                     fact = fact*j;
               sum = sum+fact;
          }
          System.out.println("Sum: "+sum);
     }
}

5. Write a java program to print following sum of series:

  (1! + 2 ! + 3! + 4! … N)

Code: 

import java.util.Scanner;
public class SumOfSeries
{
    public static void main(String[] args) 
    {
          int sum=0;
          Scanner sc = new Scanner(System.in);
          System.out.print("Enter Number:");
          int n = sc.nextInt();
          for(int i=1, a=1; i<=n; i++,a++){
               int fact=1;
               for(int j=1; j<=a; j++)
                     fact = fact*j;
               sum = sum + fact;
          }
          System.out.println("Sum: "+sum);
     }
}

6. Write a java program to print following sum of series:

  (10! + 9! + 8! + … 1!)

Code: 

public class SumOfSeries
{
    public static void main(String[] args) 
    {
          int sum=0;
          int n = 10;
          for(int i=1, a=10; i<=n; i++, a--{
               int fact=1;
               for(int j=1; j<=a; j++)
                    fact = fact*j;
               sum=sum+fact;
          }
          System.out.println("Sum: "+sum);
     }
}

7. Write a java program to print following sum of series:

series5.jpg

Code: 

import java.util.Scanner;
public class SumOfSeries
{
    public static void main(String[] args) 
    {
         double sum=0;
          Scanner sc = new Scanner(System.in);
          System.out.print("Enter Number:");
         int n = sc.nextInt();
         for(int i=1, a=2; i<=n; i++, a++){
               int fact=1;
              for(int j=1; j<=a; j++)
                     fact = fact*j;
              sum= sum + double(i+a)/fact;
         }
         System.out.println("Sum: "+sum);
    }
}

8. Write a java program to print following sum of series:

  (1×2 + 1x2x3 + 1x2x3x4 + … N )

Code: 

import java.util.Scanner;
public class NetedLoopSeries
{
    public static void main(String[] args) 
    {
          int sum=0;
          Scanner sc = new Scanner(System.in);
          System.out.print("Enter Number:");
          int n = sc.nextInt();
          for(int i = 1, a=2; i<=n; i++,a++{
               int fact=1;
               for(int j=1; j<=a; j++)
                     fact = fact*j;
          sum=sum+fact;
          }
          System.out.println("Sum: "+sum);
    }
}

9. Write a java program to print following sum of series:

series8.jpg

Code: 

import java.util.Scanner;
public class NetedLoopSeries
{
    public static void main(String[] args) 
    {
         double sum=0;
          Scanner sc = new Scanner(System.in);
          System.out.print("Enter Number:");
         int n = sc.nextInt();
         for(int i=1, a=2; i<=n; i++,a++){
               int fact=1;
              for(int j=1; j<=a; j++)
                    fact = fact*j;
              sum= sum + (double) (i+a)/fact;
              }
             System.out.println("Sum: "+sum);
       }
}

10. Write a java program to print following sum of series:

series4.jpg

Code:

import java.util.Scanner;
public class SumOfSeries
{
    public static void main(String[] args) 
    {
         double sum=0;
          Scanner sc = new Scanner(System.in);
          System.out.print("Enter Number:");
         int n = sc.nextInt();
 int x = sc.nextInt();
         for(int i=1, a=1, d=2; i<=n; i++, a+=10, d*=2){
              int fact = 1;
              for(int j=1; j<=d; j++)
                     fact = fact*j;
              sum = sum + double(a+x)/fact;
         }
         System.out.println("Sum: "+sum);
       }
}

11. Write a java program to print following sum of series:

series7.jpg

Code: 

import java.util.Scanner;
public class NetedLoopSeries
{
    public static void main(String[] args) 
    {
         double sum=0;
          Scanner sc = new Scanner(System.in);
          System.out.print("Enter Number:");
         int n = sc.nextInt();
         for(int i=1, a=2; i<=n; i++,a*=2){
               int fact=1;
              for(int j=1; j<=i+x; j++)
                    fact = fact*j;
              int fact1 = 1;
for(int j=1; j<=a; j++)
fact = fact*j;
                    sum= sum + (double) fact/fact1;
              }
             System.out.println("Sum: "+sum);
       }
}

12. Write a java program to print following sum of series:

series

Code: 

import java.util.Scanner;
public class NetedLoopSeries
{
    public static void main(String[] args) 
    {
         double sum=0;
          Scanner sc = new Scanner(System.in);
          System.out.print("Enter Number:");
          int n = sc.nextInt();
 int x = sc.nextInt();
         for(int i = 1, a=1; i<=n; i++,a++{
               int fact=1;
               for(int j=1; j<=a; j++)
                     fact = fact*j;
                    sum= sum + Math.pow(x,a)/fact;
              }
             System.out.println("Sum: "+sum);
       }
}
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