series question?

Question

series question,

I have a series with triplets ,
(1,2,1),(-1,1,-1),(-2,-1,-2),(-1,-2,-1),(1,-1,1)..........whats the 200th triplet ?

I am not able to find the relationship among triplets .

How the triplet is changing ?

someone please help me to find the relationship.

i would like to find the 200th triplet of the above series.

thanks

Answer 1

With only the 1st 3 terms given, there could be several possibilities. A 4th and 5th term would eliminate most possibilities.

One possibility is get 2nd term by subtracting ((2,1,2) from first term. Get 3rd term by subtracting (1,2,1) from 2nd term.
Then repeat this for every two additional terms.

Another possibility is To subtract (2,1,2) then (1,2,1) , then
(0,3,0), then (-1,4,-1), then ( -2,5,-2) ........etc

Answer 2

As Ironduke said, with a litlle imagination you can find alternate answers to these sequence questions. My guess is, each of the three terms are cycling through the pattern 1 → -1 → -2 → 2, and then back to 1. Given that, the 4th term is (2, -2, 2), and the 200th term is the same as the 4th term.