# Math Help - cycle

1. ## cycle

show that if F is a cycle of odd length the F2 is a cycle

2. Originally Posted by wonjujin
show that if F is a cycle of odd length the F2 is a cycle
Just write out the cycle. Notice $(12345)^2 = (13524)$ and $(1234567)^2 = (1357246)$ and in general $(1,2,...,2n+1)^2 = (1,3,...,2n+1,2,4,...,2n)$.