i need to write a single program that computes two expressions using a while loo

Question

i need to write a single program that computes two expressions using a while loop and a for loop.Read the value of n from the user and compute the left hand side using the specified loop. Use the formula on the right hand side to test the result. Use the same value of n for computation of all the results and display the results.

(a)  First expression using a while loop

1^3+2^3+3^3+4^3+....+n^3=      (^{n}sum_{i=1}^{i^3})    =((n^2*(n+1)^2)/4)

(b) Second expression using for loop

(1/1*2)+(1/2*3)+....+(1/(n*(n+1)))=      (^{n}sum_{i=1}^{1/(i(i+1))})    = (1-(1/n+1))

Explanation / Answer

1. 1. #include <stdio.h>
   2. int main(void) {
   3. int n;
   4. printf("Please Enter the value of n : ");
   5. scanf("%d",&n);
   6. printf("%d ",n);
   7. int i=1;
   8. int firstExpressionLHS = 0;
   9. int firstExpressionRHS;
   10. //Calculate LHS using while loop
   11. while(i <= n){
   12. firstExpressionLHS += i*i*i;
   13. i++;
   14. }
   15. //Print the LHS
   16. printf("First Expression LHS using while loop : %d ",firstExpressionLHS);
   17. //Compute RHS using the formula
   18. firstExpressionRHS = n*n*(n+1)*(n+1)/4;
   19. //Print the RHS
   20. printf("First Expression RHS using formula : %d ",firstExpressionRHS);
   21. double secondExpressionLHS = 0.0;
   22. double secondExpressionRHS;
   23. //Calculate LHS using for loop
   24. double j;
   25. for(j=1;j<=n;j++){
   26. secondExpressionLHS = secondExpressionLHS + (1)/(j*(j+1));
   27. }
   28. //Print the LHS
   29. printf("Second Expression LHS using for loop : %f ",secondExpressionLHS);
   30. double k = (double)(n + 1);
   31. //Compute RHS using the formula
   32. secondExpressionRHS = (1-(1/k));
   33. //Print the RHS
   34. printf("Second Expression RHS using formula : %f ",secondExpressionRHS);
   35. return 0;
   36. }
       
   1. //Sample output

       Please Enter the value of n : 13 First Expression LHS using while loop : 8281 First Expression RHS using formula : 8281 Second Expression LHS using for loop : 0.928571 Second Expression RHS using formula : 0.928571

      //Another sample output 

       Please Enter the value of n : 20 First Expression LHS using while loop : 44100 First Expression RHS using formula : 44100 Second Expression LHS using for loop : 0.952381 Second Expression RHS using formula : 0.952381

      
      

1. #include <stdio.h>
2. int main(void) {
3. int n;
4. printf("Please Enter the value of n : ");
5. scanf("%d",&n);
6. printf("%d ",n);
7. int i=1;
8. int firstExpressionLHS = 0;
9. int firstExpressionRHS;
10. //Calculate LHS using while loop
11. while(i <= n){
12. firstExpressionLHS += i*i*i;
13. i++;
14. }
15. //Print the LHS
16. printf("First Expression LHS using while loop : %d ",firstExpressionLHS);
17. //Compute RHS using the formula
18. firstExpressionRHS = n*n*(n+1)*(n+1)/4;
19. //Print the RHS
20. printf("First Expression RHS using formula : %d ",firstExpressionRHS);
21. double secondExpressionLHS = 0.0;
22. double secondExpressionRHS;
23. //Calculate LHS using for loop
24. double j;
25. for(j=1;j<=n;j++){
26. secondExpressionLHS = secondExpressionLHS + (1)/(j*(j+1));
27. }
28. //Print the LHS
29. printf("Second Expression LHS using for loop : %f ",secondExpressionLHS);
30. double k = (double)(n + 1);
31. //Compute RHS using the formula
32. secondExpressionRHS = (1-(1/k));
33. //Print the RHS
34. printf("Second Expression RHS using formula : %f ",secondExpressionRHS);
35. return 0;
36. }
    

1. //Sample output

    Please Enter the value of n : 13 First Expression LHS using while loop : 8281 First Expression RHS using formula : 8281 Second Expression LHS using for loop : 0.928571 Second Expression RHS using formula : 0.928571

   //Another sample output 

    Please Enter the value of n : 20 First Expression LHS using while loop : 44100 First Expression RHS using formula : 44100 Second Expression LHS using for loop : 0.952381 Second Expression RHS using formula : 0.952381

   
   

1. #include <stdio.h>
2. int main(void) {
3. int n;
4. printf("Please Enter the value of n : ");
5. scanf("%d",&n);
6. printf("%d ",n);
7. int i=1;
8. int firstExpressionLHS = 0;
9. int firstExpressionRHS;
10. //Calculate LHS using while loop
11. while(i <= n){
12. firstExpressionLHS += i*i*i;
13. i++;
14. }
15. //Print the LHS
16. printf("First Expression LHS using while loop : %d ",firstExpressionLHS);
17. //Compute RHS using the formula
18. firstExpressionRHS = n*n*(n+1)*(n+1)/4;
19. //Print the RHS
20. printf("First Expression RHS using formula : %d ",firstExpressionRHS);
21. double secondExpressionLHS = 0.0;
22. double secondExpressionRHS;
23. //Calculate LHS using for loop
24. double j;
25. for(j=1;j<=n;j++){
26. secondExpressionLHS = secondExpressionLHS + (1)/(j*(j+1));
27. }
28. //Print the LHS
29. printf("Second Expression LHS using for loop : %f ",secondExpressionLHS);
30. double k = (double)(n + 1);
31. //Compute RHS using the formula
32. secondExpressionRHS = (1-(1/k));
33. //Print the RHS
34. printf("Second Expression RHS using formula : %f ",secondExpressionRHS);
35. return 0;
36. }
    

#include <stdio.h> int main(void) { int n; printf("Please Enter the value of n : "); scanf("%d",&n); printf("%d ",n); int i=1; int firstExpressionLHS = 0; int firstExpressionRHS; //Calculate LHS using while loop while(i <= n){ firstExpressionLHS += i*i*i; i++; } //Print the LHS printf("First Expression LHS using while loop : %d ",firstExpressionLHS); //Compute RHS using the formula firstExpressionRHS = n*n*(n+1)*(n+1)/4; //Print the RHS printf("First Expression RHS using formula : %d ",firstExpressionRHS); double secondExpressionLHS = 0.0; double secondExpressionRHS; //Calculate LHS using for loop double j; for(j=1;j<=n;j++){ secondExpressionLHS = secondExpressionLHS + (1)/(j*(j+1)); } //Print the LHS printf("Second Expression LHS using for loop : %f ",secondExpressionLHS); double k = (double)(n + 1); //Compute RHS using the formula secondExpressionRHS = (1-(1/k)); //Print the RHS printf("Second Expression RHS using formula : %f ",secondExpressionRHS); return 0; }
//Sample output

 Please Enter the value of n : 13 First Expression LHS using while loop : 8281 First Expression RHS using formula : 8281 Second Expression LHS using for loop : 0.928571 Second Expression RHS using formula : 0.928571

//Another sample output 

 Please Enter the value of n : 20 First Expression LHS using while loop : 44100 First Expression RHS using formula : 44100 Second Expression LHS using for loop : 0.952381 Second Expression RHS using formula : 0.952381

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