Pell Series – SchoolCodeHub

Pell Series is a series starting with 0 and 1 and then each next term is the sum of twice the previous term and the term before that.

Base Concept:

T₀ = 0
T₁ = 1
T_n = (2*T_(n-1))+T_(n-2)

The first ten terms of Pell Series are: 0 1 2 5 12 29 70 169 408 985

If we observe the 5th term of the series that is 12 = (2*5)+2. Where 5 is the previous term of the 5th term and 2 is the term before that.

Java

import java.util.*;
public class PellSeries
{
    public static void main(String args[])
    {
        int n=0,a=0,b=1,c=0;
        Scanner sc=new Scanner(System.in);
        System.out.print("Enter number of terms: ");
        n=sc.nextInt();
        System.out.println("Pell Series:-");
        for(int i=1;i<=n;i++)
        {
            System.out.println(a);
            c=(2*b)+a;
            a=b;
            b=c;
        }
    }
}

Java