It's not particularly necessary. I mean, it's just one week! But if the first chapter ends with a cliffhanger and the second starts right after that, it may be a good idea to add that last panel of cliffhanger to the very beginning of the second chapter: Let me give you an example:
Chapter 1:
-A: Soo...what did you call me for?
-B: ...
-A: Come on, I don't have all day. If you're not gonna talk, I'm leaving.
-B: I know who the traitor is.
Chapter 2:
-B: I know who the traitor is.
-A: ...Ha? What do you mean-
-B: I know who the traitor is.
Just remember that you can reuse previous images for recaps, no need to go all fancy on that.