Trying to define a way to generate the terms of a sequence, and starting with the number 5, I found, surprisingly, that the way I used generated this sequence:
5, 8, 11, 5, 8, 11, 5, 8, 11, ...
And these 3 numbers repeat in this order indefinitely.
Define a simple way to generate this sequence.
I used sequence indexing starting with n=1 for 5, n=2 for 8, and n=3 for 11, and so forth. Then my equation is
F(n)=5+3*[(n1) mod 3]
F(1)=5+3*(0 mod 3)=5+3*0=5
F(2)=5+3*(1 mod 3)=5+3*1=8
F(3)=5+3*(2 mod 3)=5+3*2=11
F(4)=5+3*(3 mod 3)=5+3*0=5 again
and thus it repeats

Posted by Daniel
on 20090307 14:09:34 