C Exercises: Print the first 20 numbers of the Pell series

Last update on March 19 2025 12:39:43 (UTC/GMT +8 hours)

35. Pell Series Variants

Write a program in C to print the first 20 numbers of the Pell series.

Sample Solution:

C Code:

#include <stdio.h>
#include <stdlib.h>

int main()
{
    int n, a = 1, b = 0, c; // Variables to store Pell series numbers and iterate through the series

    printf("\n\n Find the first 20 numbers of the Pell series: \n");
    printf(" --------------------------------------------------\n");	
    printf(" The first 20 numbers of Pell series are: \n");

    c = 0; // Initializing the first number in the Pell series
    printf(" %d ", c); // Printing the first number

    // Loop to generate the next 19 numbers in the Pell series
    for (n = 1; n < 20; n++)
    {
        c = a + 2 * b; // Calculating Pell series numbers based on the formula
        printf("%d ", c); // Printing each Pell series number

        // Updating variables to generate the next number in the series
        a = b;
        b = c;
    }
    printf("\n"); // Adding a new line after printing the series
}

Sample Output:

The first 20 numbers of Pell series are:                                                                     
 0 1 2 5 12 29 70 169 408 985 2378 5741 13860 33461 80782 195025 470832 1136689 2744210 6625109 

Visual Presentation:

Flowchart:

For more Practice: Solve these Related Problems:

• Write a C program to generate Pell numbers iteratively and compare the result with a recursive approach.
• Write a C program to compute Pell numbers using matrix exponentiation techniques.
• Write a C program to generate the Pell series and display the ratio of successive terms.
• Write a C program to output Pell numbers along with their approximated multipliers for √2.

C Programming Code Editor:

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