The Next Number

Algebra Level pending

Try to find the answer to this problem: What comes next in this sequence? 1, 1, 2, 3, 5, 8, 13, _?

IDK 21 20 15

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1 solution

Caleb Townsend
Mar 30, 2015

This is a famous sequence known as the Fibonacci sequence. Each term is calculated by adding the previous two: 1 + 1 = 2 , 1 + 2 = 3 , 2 + 3 = 5 , 1 + 1 = 2,\ 1 + 2 = 3,\ 2 + 3 = 5, etc. The next term is 8 + 13 = 21 . 8 + 13 = \boxed{21}. The definition is simple, but there are many interesting properties of the sequence. Try these problems if you are interested in the sequence and related sequences:

Extremely large Fibonacci number
Lucas numbers and Fibonacci
Tribonacci

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