Question

write a program in java to find the sum of the series 3-5+8-12+17.......upto n terms.

Answer 1

Series Summation Program in Java

We have a series whose sum we have to find by writing a program in Java. Let us analyze the series to understand the pattern.

Consider just the absolute value of the terms:

3, 5, 8, 12, 17, ...

The pattern lies in their difference:

$\begin{aligned}\sf 5-3=2 \\\sf 8-5 = 3 \\\sf 12-8=4\\\sf 17-12=5\end{aligned}$

As we can see, the difference gets increased by 1 with each term.

So, while writing the program, we must include a variable which will contain the value of Sum, then we should have a variable which would contain the value of each term as we progress through a loop, and finally we should also have a variable by which we would increment the terms. The value of this increment variable would itself increment with each iteration of the loop.

Here is a Java program implementing everything and calculating the Series Sum:

import java.util.Scanner;       //Importing Scanner

public class Brainly    //Creating class

{

   public static void main(String[] args)      

   {

       Scanner sc = new Scanner(System.in);    //Creating Scanner object

       

       System.out.print("Enter number of terms: ");    //Asking for user input

       int n = sc.nextInt();           //Checking user input

       

       int Sum = 0;        //Creating and Initialising Sum to 0

       

       int term = 3;       //The value of the current term

       int incrementValue = 2;     //The increment value by which term is to be incremented

       

       for(int i=0;i<n;i++)    //Setting a loop to run n times

       {

           if(i%2==0)          //If i is even, term is added to Sum

           {

               Sum = Sum + term;

           }

           else                //If i is odd, term is subtracted from Sum

           {  

               Sum = Sum - term;

           }

           

           term = term + incrementValue;       //Incrementing term by required value

           incrementValue++;       //Incrementing this variable for next iteration

       }

       

       System.out.println("Series Sum = "+Sum);    //Printing Sum

       

   }

}

Answer 2

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