fibonacci

1,2,3,5,8,13

What is the next number?

14 17 18 21

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2 solutions

Shithil Islam
Jan 24, 2017

It is the Fibonacci sequence.

Every term of the sequence is the sum of the previous two sum.

So the answer is 8+13= 21

Bonus: Prove that F (n+1) + F (n+2) + .................................+ F (n+10) = 11*F (n+7).

Michael Kruska
Aug 21, 2016

Every term is the sum of the two preceeding terms. So 8+13=21.

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