Question

write a program in java to find the sum of the series 1+(2/x^2)+(3/x^3)+(4/x^4)+.......to n terms.

Answer 1

this is your answer

Answer 2

Series Summation in Java

We are given a series with a variable x.

We would take user input for the value of x and the number of terms n. Then we would be finding the series sum using a loop.

The $i^{th}$ term of the series can be written as $\dfrac{i}{x^i}$.

Only the first term does not follow the pattern. So we create and initialize a variable (here called Sum) to 1 and then iterate through a loop to add the successive terms.

Here's a Java Program for it:

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 the value of x: ");

       double x = sc.nextDouble();             //User input for x

       

       System.out.print("Enter number of terms: ");

       int n = sc.nextInt();                   //User input for n

       

       double Sum = 1;        //Creating and Initialising Sum to 1 (the first term)

       

       for(int i=2;i<=n;i++)    //Setting a loop to run from 2 to n

       {

           Sum += i/(Math.pow(x,i));       //Adding the terms

       }

       

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

       

   }

}