A Sequence is an ordered set of real numbers. It can be treated as a mapping of positive integers to the set of real numbers. Consider the function which generates the sequence: {f(1), f(2), f(3), ..., f(n), ...}, where f(n) represents the nth term in the sequence.
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The Arithmetic Progression is a sequence of numbers generated by adding a common difference, d, to each successive term.
The Geometric Progression is a sequence of numbers generated by multiplying a common ratio, r, to each successive term.
The Fibonacci Numbers are generated by the recursive function f(n) = f(n - 1) + f(n - 2), f(1) = 1, f(2) = 1. The first 10 numbers in the sequence are: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.