![]() ![]() They areĬalled the "seeds" of the sequence. In such a sequence the first two values are arbitrarily chosen. The Fibonacci sequence obeys the recursion relation P(n) = P(n-1) + P(n-2). The Fibonacci sequence is but one example of many sequences with simple recursion relations. The sum of any ten adjacent numbers in the sequence equals 11 times the seventh one of the ten. The first product will be either one more or one less than the second. Take any four adjacent numbers in the sequence. The difference between these two results is always 1. Take any three adjacent numbers in the sequence, square the middle number, multiply the firstĪnd third numbers. ![]() Of numbers having many surprising properties, of which we list but a few: Of the sequence) then assigning the rest by the rule that each number be This sequence is constructed by choosing the first two numbers (the "seeds" Leonardo of Pisa (~1170-1250), also known as Fibonacci, wrote books of problems in mathematics, but is best known by laypersonsįor the sequence of numbers that carries his name:Ġ, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597. ![]()
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