Series Programs in C Exercises and Solutions

Introduction

• Series programs in C involve generating sequences of numbers based on specific patterns or rules.
• They serve as essential practice for:
  • Understanding loops
  • Implementing conditional logic
  • Using mathematical formulas
  • Enhancing problem-solving skills

Common Series Exercises

Here are several common series exercises along with their solutions:

1. Arithmetic Series

• Generate an arithmetic series where each term is obtained by adding a constant difference (common difference) to the previous term.

C

#include <stdio.h>

int main() {
    int a = 2, d = 3, n = 5;  // First term, common difference, number of terms

    printf("Arithmetic Series: ");

    for (int i = 1; i <= n; ++i) {
        printf("%d ", a);
        a += d;  // Calculate the next term
    }

    printf("\n");

    return 0;
}

2. Geometric Series

• Generate a geometric series where each term is obtained by multiplying the previous term by a constant ratio.

C

#include <stdio.h>

int main() {
    int a = 2, r = 3, n = 5;  // First term, common ratio, number of terms

    printf("Geometric Series: ");

    for (int i = 1; i <= n; ++i) {
        printf("%d ", a);
        a *= r;  // Calculate the next term
    }

    printf("\n");

    return 0;
}

3. Fibonacci Series

• Generate the Fibonacci series where each term is the sum of the two preceding terms, starting from 0 and 1.

C

#include <stdio.h>

int main() {
    int n = 10;  // Number of terms
    int t1 = 0, t2 = 1, nextTerm;

    printf("Fibonacci Series: ");

    for (int i = 1; i <= n; ++i) {
        printf("%d ", t1);
        nextTerm = t1 + t2;
        t1 = t2;
        t2 = nextTerm;
    }

    printf("\n");

    return 0;
}

4. Prime Number Series

• Print prime numbers within a given range.

C

#include <stdio.h>

int main() {
    int lower = 1, upper = 50;

    printf("Prime Numbers between %d and %d:\n", lower, upper);

    for (int num = lower; num <= upper; ++num) {
        int isPrime = 1;

        for (int i = 2; i <= num / 2; ++i) {
            if (num % i == 0) {
                isPrime = 0;
                break;
            }
        }

        if (isPrime) {
            printf("%d ", num);
        }
    }

    printf("\n");

    return 0;
}

Additional Exercises

• Explore other series exercises such as:
  • Factorial series
  • Palindrome series
  • Square series
  • Cube series
  • Even/odd series
• Incorporate user input for flexibility.
• Experiment with different loop structures and techniques.
• Challenge yourself with more complex series patterns.