Examples Sequence

a tiling squares sides successive fibonacci numbers in length.

the prime numbers natural numbers bigger 1 have no divisors 1 , themselves. taking these in natural order gives sequence (2, 3, 5, 7, 11, 13, 17, ...). prime numbers used in mathematics , in number theory.

the fibonacci numbers integer sequence elements sum of previous 2 elements. first 2 elements either 0 , 1 or 1 , 1 sequence (0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...).

for large list of examples of integer sequences, see on-line encyclopedia of integer sequences.

other examples of sequences include ones made of rational numbers, real numbers, , complex numbers. sequence (.9, .99, .999, .9999, ...) approaches number 1. in fact, every real number can written limit of sequence of rational numbers, e.g. via decimal expansion. instance, π limit of sequence (3, 3.1, 3.14, 3.141, 3.1415, ...). related sequence sequence of decimal digits of π, i.e. (3, 1, 4, 1, 5, 9, ...). sequence not have pattern discernible eye, unlike preceding sequence, increasing.