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NegaFibo series (Posted on 2013-08-29) Difficulty: 2 of 5
A series S is defined by its two first members a1 , a2 and a recursive formula an=an-1- an-2 .

Evaluate a2014 if a1=2013 and a 2=1492.

No Solution Yet Submitted by Ady TZIDON    
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Solution Solution | Comment 1 of 2
Following the terms leads to a cycle of length 6:

a1 = a1
a2 = a2
a3 = a2-a1
a4 = -a1
a5 = -a2
a6 = a1-a2
a7 = a1
a8 = a2

So a2014=a4=-a1 so the answer is -2013

  Posted by Jer on 2013-08-29 13:57:50
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