Question

23. Write a program to print the first 15 numbers of the Pell series. Pell series is such a series which starts
from 1 and 2, and subsequent numbers is the sum of twice the previous number and the number
previous to the previous number. Pell series: 1, 2, 5, 12, 29, 70, 169, 408,985,2378, 5741, 13860, ...​

Answer 1

Answer:

HEY,MATE

In mathematics, the Pell numbers are an infinite sequence of integers. The sequence of Pell numbers starts with 0 and 1, and then each Pell number is the sum of twice the previous Pell number and the Pell number before that.:

thus, 70 is the companion to 29, and 70 = 2 × 29 + 12 = 58 + 12.

The first few terms of the sequence are :

0, 1, 2, 5, 12, 29, 70, 169, 408, 985, 2378, 5741, 13860,…

^_^HOPE IT WILL HELP U^_^

Answer 2

Question:

Write a program to print the first 15 numbers of the Pell series. Pell series is such a series which starts from 1 and 2 , and subsequent numbers are the sum of twice the previous number and the number previous to the previous number. Pell series: 1, 2, 5, 12, 29, 70, 169, 408, 985, 2378, 5741, 13860, …

Solution:

Language used: Java

public class PellSeries

{

static void main()

{

int i,a=1,b=0,c;

System.out.println("Pell series =");

for(i=1;i<=15;i++)

{

c=a+2*b;

System.out.print(c+" ");

a=b;

b=c;

}

}

}