Though the Fibonacci sequence shows up everywhere in nature, these young mathematicians were surprised to find it in the ...

The numbers 1, 1, 2, 3, 5, 8, 13, 21, 34, and 55 belong to a famous sequence named for the Italian mathematician Fibonacci, who lived more than 700 years ago. Each consecutive number is the sum […] ...

The numbers 3, 5, 8, 13, and 21 are all Fibonacci numbers—members of a sequence in which successive numbers are sums of the preceding two numbers, starting with 1 and 1: 1, 1, 2, 3, 5, 8, 13, 21 ...

If you look at the ratio of each number in the Fibonacci sequence to its predecessor from the beginning, the numbers oscillate around the Golden Ratio: 3/2 = 1.5 5/3 = 1.666… 8/5 = 1.6 13/8 = 1.625 ...

Those key ratios are derived from the division of one Fibonacci number by another Fibonacci figure one, two or three places further in the sequence: 0 divided by 1, or 0; 1 divided by 1, or 1; 1 ...

The Fibonacci sequence is a famous group of numbers beginning with 0 and 1 in which each number is the sum of the two before it. It begins 0, 1, 1, 2, 3, 5, 8, 13, 21 and continues infinitely.