perplexus.info :: Numbers : NegaFibo series

NegaFibo series (Posted on 2013-08-29)

A series S is defined by its two first members a₁ , a₂ and a recursive formula a_n=a_n-1- a_n-2 .

Evaluate a₂₀₁₄ if a₁=2013 and a₂=1492.

No Solution Yet Submitted by Ady TZIDON

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

solution

Comment 2 of 2 |

a3=-521
a4=-2013
a5=-1492
a6= 521
a7= 2013
a8= 1492

so there's a cycle of length 6.

2014 = 4 mod 6, so a2014 = a4 = -2013.

Posted by Charlie on 2013-08-29 13:58:12

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info