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Sunday, 28 April 2013

Write a PL/SQL code to get the Fibonacci Sequence

 Earthcare Foundation NGO     22:46     Fibonacci Sequence, PL/SQL, Programming     No comments   

First, I will explain what is Fibonacci Sequence and how to get this series.
So, Fibonacci Sequence is a series of numbers 0,1,1,2,3,5,8,13,21.............

In Fibonacci Sequence, first and second elements are 0 and 1 and to get the next elements we will add the previous elements and it will generate the next element.
So, first element=0
      second element =1
      third element=sum of last 2 elements (first element + second element)
                           =0+1
                           =1
      fourth element=second element + third element
                             =1+1
                             =2
      fifth element=third element + fourth element
                           =1+2
                           =3
So in this way we can generate a Fibonacci Sequence.
Now how to generate a Fibonacci Sequence using a program?

  •  First thing we want to know the length of sequence because its length will be infinite, so we want to know length of sequence to be generated by program. I have taken it as 6
  • Second thing we will need first two elements of sequence and for that we will use 2 variables, a=0, b=1
  •  Now we will need one extra variable which will be the sum of last two elements which in our program is c
  • Now we have to use a for loop and just put c=a+b inside that so that the sequence will be generated



Object: Write a PL/SQL code to get the Fibonacci series.
Requirement: Windows XP, Oracle 9i.

Program Code:

SQL> declare
  2  a number(5);
  3  b number(5);
  4  c number(5);
  5  n number(5);
  6  i number(5);
  7  begin
  8  n:=6;
  9  a:=0;
 10  b:=1;
 11  for i in 1..n
 12  loop
 13  c:=a+b;
 14  a:=b;
 15  b:=c;
 16   dbms_output.put_line(c);
 17  end loop;
 18  end;
 19  .





OUTPUT :

SQL> /

1
2
3
5
8
13

PL/SQL procedure successfully completed.

                       


RESULT : The above program in PL/SQL to get the Fibonacci series has been executed successfully.


So above is a simple program how to generate Fibonacci Sequence. If there is any query regarding anything please comment.

Thanks 
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