$\displaystyle (X_{n})_{n\geq0} $ is a discrete time markov chain with Transition matrix P
show that $\displaystyle (X_{kn})_{n\geq0} $ is a markov chain with transition matrix $\displaystyle P^{k} $
$\displaystyle (X_{n})_{n\geq0} $ is a discrete time markov chain with Transition matrix P
show that $\displaystyle (X_{kn})_{n\geq0} $ is a markov chain with transition matrix $\displaystyle P^{k} $