Question

Write the program in Java to find the sum of the following series:

S = 1 + `(1 + 2)/(1  "*"  2) + (1 + 2 + 3)/(1  "*"  2  "*"  3) + ............. + (1 + 2 + 3  .......... "n")/(1  "*"  2  "*"  3  .......... "n"))`

Answer 1

import java.util.*; .
public class Q2e
{ public static void main(String arg[])
{ int n;
double num, den, term, sum = 0;
Scanner obj = new Scanner(System.in);
System.out.println("Enter the VALUE OF n ....not the number of TERMS"); //
n = obj.nextInt();
for (int i = 1; i <= n; i++)
{num = 0; // reset num to 0 to accumulate sum
den = 1; // reset den to 1 to accumulate product
for (int j = 1; j <= i; j++)
{ num = num + j;
den = den * j;
}
term = (double) num / den;
System.out.println(num + "/" + den); // optional print
sum = sum + term; // sum of terms
}
System.out.printn("Sum of the Series = " + sum);
}}