Prolog The sequence of Pell numbers 0,1,2,5,12,29,70,169,408,.. can be defined recursively as the sequence of numbers in which the first two numbers are 0 and 1, and each subsequent number is given by adding 2 times the preceding number to the number which precedes this. This can be defined in Haskell as: pell :: Int -> Int pell 0 = 0 pell 1 = 1 pell n = 2 * pell (n-1) + pell (n-2) Formulate the appropriate Prolog predicate "pell(N,Pn)" which is true if (and only if) "Pn" is the "N"-th term of the sequence of Pell numbers (note that we start numbering the sequence of Pell numbers with 0). That is, "pell(8,408)." would evaluate to "true", or "pell(5,Pn)." would give "Pn = 29"

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Declaring and Defining the function

A set of statements, which performs a particular task is called a function. The program gains modularity by using function. The application is quite easy to understand, read, and edit when they are created with functions. The developer/programmer creates a function and uses main() to call the function. Once the function gets executed, the control is transferred to the main program.