Use the symbol "F" to represent the function that generates the Fibonacci numbers.
Assign the number 0 to the first term of the Fibonacci series, which would be F(1).
Record the value of the second term of the series, which would be F(2) as 1.
Calculate all remaining terms in the series using the formula F(n) = F(n-1) + F(n-2). The symbol "n" represents the position of a term in the sequence. This formula is valid for n = 3 to n = infinity. For example, the third term F(3) = 1 = F(3-1) + F(3-2) = F(2) + F(1) = 1 + 0. In the same manner F(4) = 2 = F(4-1) + F(4-2) = F(3) + F(2) = 1 + 1. The fifth term F(5) = F(5-1) + F(5-2) = F(4) + F(3) = 2 + 1 = 3.
Record the sequence of terms in the Fibonacci series using the form F(1), F(2), F(3), F(4), F(5), F(6), F(7), F(8), etc. For example, the first eight terms in the Fibonacci series can be written as 0, 1, 1, 2, 3, 5, 8, 13.