Menu

Programming for Problem Solving [ Lab Programs ]


Write a C program to calculate the following, where x is a fractional value.i. 1-x/2 +x^2/4-x^3/6......

Algorithm

start
	step1: result := 1
	step2: Read x,n
	step3: for i := 1 to n step 1 do
	step4: 	if i % 2 = 0
	step5:     term := 1
	step6: 	else term := -1
	step7: 	term := term * (xi / 2*i)
	step8: 	result := result + term
	step9: Print result
stop

Flowchart
flowchart for fractional sequence in c

C Programming
//1-x/2 +x^2/4-x^3/6......
#include <stdio.h>
#include <math.h>

int main() {
    double x, result = 1.0,term; // Initialize result to 1 for the first term
    int n,i;

    // Input: Get the fractional value of x and number of terms from the user
    printf("Enter a fractional value for x: ");
    scanf("%lf", &x);
    printf("Enter the number of terms (n): ");
    scanf("%d", &n);

    // Calculate the expression up to n terms
    for (i = 1; i <= n; i++) {
        // Calculate each term
        term = (i % 2 == 0 ? 1 : -1) * (pow(x, i) / (i*2));
        result += term; // Add the term to the result
    }

    // Output: Display the result
    printf("The result of the expression is: %lf\n", result);

    return 0;
}

OUTPUT
Enter a fractional value for x: 2
Enter the number of terms (n): 3
The result of the expression is: -0.333333

Related Content :

Programming for Problem Solving Lab Programs

   Practice sessions:

1) Write a simple program that prints the results of all the operators available in C (including pre/ post increment , bitwise and/or/not , etc.). Read required operand values from standard input View Solution

2) Write a simple program that converts one given data type to another using auto conversion and casting. Take the values from standard input. View Solution

   Simple numeric problems:

1) Write a program for finding the max and min from the three numbers. View Solution

2) Write the program for the simple, compound interest. View Solution

3) Write a program that declares Class awarded for a given percentage of marks, where mark <40%= Failed, 40% to <60% = Second class, 60% to <70%=First class, >= 70% = Distinction.Read percentage from standard input. View Solution

4) Write a program that prints a multiplication table for a given number and the number of rows inthe table. For example, for a number 5 and rows = 3, the output should be:
5 x 1 = 5
5 x 2 = 10
5 x 3 = 15 View Solution

5) Write a program that shows the binary equivalent of a given positive number between 0 to 255 View Solution

   Expression Evaluation

1) A building has 10 floors with a floor height of 3 meters each. A ball is dropped from the top of the building. Find the time taken by the ball to reach each floor. (Use the formula s = ut+(1/2)at^2where u and a are the initial velocity in m/sec (= 0) and acceleration in m/sec^2 (= 9.8 m/s^2)). View Solution

2) Write a C program, which takes two integer operands and one operator from the user, performs the operation and then prints the result. (Consider the operators +,-,*, /, % and use Switch Statement) View Solution

3) Write a program that finds if a given number is a prime number View Solution

4) Write a C program to find the sum of individual digits of a positive integer and test given numberis palindrome View Solution

5) A Fibonacci sequence is defined as follows: the first and second terms in the sequence are 0 and 1. Subsequent terms are found by adding the preceding two terms in the sequence. Writea C program to generate the first n terms of the sequence. View Solution

6) Write a C program to generate all the prime numbers between 1 and n, where n is a value supplied by the user View Solution

7) Write a C program to find the roots of a Quadratic equation. View Solution

8) Write a C program to calculate the following, where x is a fractional value.i. 1-x/2 +x^2/4-x^3/6 View Solution

9) Write a C program to read in two numbers, x and n, and then compute the sum of this geometric progression: 1+x+x^2+x^3+..............+x^n. For example: if n is 3 and x is 5, then the program computes 1+5+25+125. View Solution

   Arrays, Pointers and Functions:

1) Write a C program to find the minimum, maximum and average in an array of integers. View Solution

2) Write a function to compute mean, variance, Standard Deviation, sorting of n elements in a single dimension array. View Solution

3) Write a C program that uses functions to perform Addition of Two Matrices View Solution

4) Write a C program that uses functions to perform Multiplication of Two Matrices View Solution

5) Write a C program that uses functions to perform Transpose of a matrix with memory dynamically allocated for the new matrix as row and column counts may not be the same. View Solution

6) Write C programs that use both recursive and non-recursive functions to find the factorial of a given integer. View Solution

7) Write C programs that use both recursive and non-recursive functions to find the GCD (greatest common divisor) of two given integers. View Solution

8) Write C programs that use both recursive and non-recursive functions to find x^n View Solution

9) Write a program for reading elements using a pointer into an array and display the values using the array View Solution

10) Write a program for display values reverse order from an array using a pointer. View Solution

11) Write a program through a pointer variable to sum of n elements from an array. View Solution

   Files

1) Write a C program to display the contents of a file to standard output device. View Solution

2) Write a C program which copies one file to another, replacing all lowercase characters with their uppercase equivalents. View Solution

3) Write a C program to count the number of times a character occurs in a text file. The file name and the character are supplied as command line arguments View Solution

4) Write a C program that does the following: It should first create a binary file and store 10 integers, where the file name and 10 values are given in the command line. (hint: convert the strings using atoi function) Now the program asks for an index and a value from the user and the value at that index should be changed to the new value in the file. (hint: use fseek function) The program should then read all 10 values and print them back. View Solution

5) Write a C program to merge two files into a third file (i.e., the contents of the first file followed by those of the second are put in the third file). View Solution

   Strings

1) Write a C program to convert a Roman numeral ranging from I to L to its decimal equivalent. View Solution

2) Write a C program that converts a number ranging from 1 to 50 to Roman equivalent View Solution

3) Write a C program that uses functions to insert a sub-string into a given main string from a given position View Solution

4) Write a C program that uses functions to delete n Characters from a given position in a given string View Solution

5) Write a C program to determine if the given string is a palindrome or not (Spelled same in both directions with or without a meaning like madam, civic, noon, abcba, etc.) View Solution

6) Write a C program that displays the position of a character ch in the string S or – 1 if S doesn‘t contain ch View Solution

7) Write a C program to count the lines, words and characters in a given text. View Solution

   Miscellaneous:

1) Write a menu driven C program that allows a user to enter n numbers and then choose between finding the smallest, largest, sum, or average. The menu and all the choices are to be functions. Use a switch statement to determine what action to take. Display an error message if an invalid choice is entered. View Solution

2) Write a C program to construct a pyramids. View Solution

   Sorting and Searching

1) Write a C program that uses non recursive function to search for a Key value in a given list of integers using linear search method View Solution

2) Write a C program that uses non recursive function to search for a Key value in a given sorted list of integers using binary search method. View Solution

3) Write a C program that implements the Bubble sort method to sort a given list of integers in ascending order View Solution

4) Write a C program that sorts the given array of integers using selection sort in descending order View Solution

5) Write a C program that sorts the given array of integers using insertion sort in ascending order View Solution

6) Write a C program that sorts a given array of names View Solution