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

Question 575139: which is the next number in this logical sequence ..
1,1,2,3,5,8,13, ...
Found 3 solutions by ikdeep, bucky, richwmiller:
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:
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0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, ...
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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.
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For an explanation of this sequence, you can go to http://en.wikipedia.org/wiki/Fibonacci_number.
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Hopefully this helps you to understand the Fibonacci number pattern and how we determined the answer to this problem.
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Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
1 0 1 -1 2 -3 5
1 1 0 1 -1 2 5
2 1 1 0 1 7
3 2 1 1 8
5 3 2 9
8 5 11
13 16
29
8th term 29

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