# SOLUTION: which is the next number in this logical sequence .. 1,1,2,3,5,8,13, ...

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 Logic: Subset Solvers Lessons Answers archive Quiz In Depth

 Question 575139: which is the next number in this logical sequence .. 1,1,2,3,5,8,13, ...Found 2 solutions by ikdeep, bucky:Answer by ikdeep(226)   (Show Source): You can put this solution on YOUR website!Next number in the logical sequence = 21 You can see step by step solution from the below URL http://www.algebraden.com/solved-problems/find-next-number-in-logical-sequence/11.htm Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!This is the Fibonacci sequence. The first two terms in the sequence are, by definition, 0 and 1. After that, each added term is the sum of the two terms that immediately precede it. An extension of this sequence is: . 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, ... . So the answer to this problem is 21 because it is the sum of the 8 and the 13 that are the two terms that come immediately before it. . For an explanation of this sequence, you can go to http://en.wikipedia.org/wiki/Fibonacci_number. . Hopefully this helps you to understand the Fibonacci number pattern and how we determined the answer to this problem. .