the.com/sequences
numbers walking in single file, each one owing its life to the ones before it.
means an ordered list of terms following a fixed rule, so the position of each element matters as much as its value.
from from latin sequi, to follow — mathematicians borrowed the word for anything that lines up obediently in order, term after term.
fibonacci origininvented to model rabbit population growth in 1202
infinite onescan go forever without ever repeating a value
convergence trickterms can approach a limit they never touch
for instance
fibonacci sequence — 1,1,2,3,5,8 — shows up in sunflower spirals and stock charts
prime numbers — 2,3,5,7,11 — no formula predicts the next one, ever
collatz sequence — unsolved conjecture, 3n+1 rule, mathematicians stumped since 1937
look and say sequence — 1,11,21,1211 — described by john conway in 1986