n-Step Sarsa

Definition

$Q(S_t,A_t)\leftarrow Q(S_t,A_t)+\alpha [G_{t:t+n}-Q(S_t,A_t)]$ where $G_{t:t+n}:=\sum _{k=0}^{n-1}{\gamma }^k{R}_{t+k+1}+{\gamma }^{n}Q(S_{t+n},A_{t+n})$ is the n-Step Return.