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Yes that is it. Or to make it easier it is the sum of the last two numbers in the sequence.

**Mcbattle**- Replies: 6

Gather round for the shortest story ever. I got board one day and decided I like math these people like math, might as well all like math together. That is the story of how I joined, The End

**Mcbattle**- Replies: 6

So after I failed math last semester I got kicked into general math. But I already knew the concepts (I got a 94 after paying attention for less than 15 minutes over the course of 4 weeks) so I did what any other board 14 year does... screw around. I knew that if you take the remainder after dividing the Fibonacci numbers you see a pattern. However I noticed a pattern in the length of the patterns, but only when it was divided by certain numbers. The numbers in question would be 2^n for example:

2^1=2 The sequence is 3 numbers: 0,1,1

2^2=4 The sequence is 6 numbers: 0,1,1,2,3,1

2^3=8 The sequence is 12 numbers: 0,1,1,2,3,5,0,5,5,2,7,1

The pattern I noticed is that the length of the sequence is equal to

I have confirmed the same thing with 16 and 32 while in math by writing a program on my calculator. I was unable to go higher due to technical reasons though. I plan on looking into this later and seeing if it does continue.

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