Question

Find the formula for the series:
2,1,0,1,2,1,0,1.....

Answer 1

-1, -1, +1,+1,-1, -1, +1

Answer 2

...directions were "find a formula for the nth term of the *sequence" my mistake

Answer 3

hmmm..dunno how to put it in letters

Answer 4

Any help would be appreciated. Even a shove in the right direction haha.

Answer 5

f(3n+1) = 2, f(3n+2)=1, f(3n)=0

Answer 6

wait, my answer is not right.

Answer 7

f(4n+1) = 2, f(4n+2) = 1, f(4n+3)=0, f(4n)=1.

Answer 8

You could say: f(n) = {2 if n mod 4 = 1, 1 if n mod 4 = 2, 0 if n mod 4 = 3, 1 if n mod 4 = 0}

Answer 9

Ugh. I'm just not seeing it.

Answer 10

How about this:
\[f(n) = {1 \over2} (i (-i)^n-i i^n+2)\]

Answer 11

Perfect! But, what does i stand for? :0

Answer 12

well, if you don't have any imagination, there is probably a simpler answer.

Answer 13

I see what you did there!
http://i0.kym-cdn.com/photos/images/original/000/105/262/i%20see%20what%20you%20did%20there%202.png