The ratio of successive terms of this sequence of numbers approaches one plus root five divided by two, or the golden ratio, and it was first studied as a model of the population growth of rabbits.
Two identities involving this type of number are named for Cassini and Catalan, and these numbers were used to prove that no general formula exists to solve Diophantine equations. The ratio of successive terms of this sequence of numbers approaches one plus root five divided by two, or the golden ratio, and it was first studied as a model of the population growth of rabbits. For 10 points, name this sequence of numbers in which each number is equal to the sum of the previous two, beginning one, one, two, three.
Two identities involving this type of number are named for Cassini and Catalan, and these numbers were used to prove that no general formula exists to solve Diophantine equations.
{Fibonacci} sequence [or {Fibonacci} numbers]