Question

For Q2), Q3) and Q4) use the following formulas as necessany ?=n(n+1) ?: = n(n + 1)(2n + 1) In order to receive marks your approach must rely on sigma notation, summation properties and usage of given formula(s)*It is probably a good idea to test your formula for some values of n. *Answers based on combinatorics will not be accepted.

Answer 1

JAVA PROGRAM

import java.util.*;

public class time {
  
   public static void main(String []args) {
       Scanner s = new Scanner(System.in);
      
       System.out.print("Enter the value of n: ");
       int n = s.nextInt();
      
       int time = 500;
      
       for(int i=1; i<=n; i++) {
           time = time + 8;
          
           for(int j=7; j<=i+1; j++)
               time = time + 24*j;
       }
      
       System.out.println();
       System.out.println("The value of time is: "+time);
   }
}