Audio problem: Alice's comment to the girls while handing them their books was obviously dubbed; there's an unusual echo quality in the sound. (00:03:05)
You Can't Win 'Em All - S4-E22
Continuity mistake: At the start, when Cindy walks into the kitchen she sets her books down on the counter with the book's binding facing the sink, but in the closeup the book's binding now faces the opposite way, toward the stove. Additionally, the grocery bag which was on the counter right beside Carol, has been moved for the closeup so Carol is in full view, but the bag is now at the very edge of the counter near the stove, which is pretty odd since there's not enough counter there to actually hold the full grocery bag (presumably something else supported the bag off camera). (00:01:30)
You Can't Win 'Em All - S4-E22
Continuity mistake: The dress in Cindy's arms turns around from one shot to the next; first the back is facing outward, then the front is. (00:14:15)
You Can't Win 'Em All - S4-E22
Continuity mistake: What appears to be a carton of eggs is sticking out of one of the grocery bags in some shots, but not in others. (00:15:00)
You Can't Win 'Em All - S4-E22
Revealing mistake: When Cindy and her parents get home after the television show, just as Carol and Mike walk down the steps the set's unfinished wood can be seen at the edge of the steps, at the bottom right corner of the screen. (00:22:40)
Continuity mistake: In "Our Son, the Man", Greg wants his own room. One night, while in bed, Mike and Carol discuss their options. Carol says, "How about the attic?" Mike responds with, "That would be fine if Greg were only two and a half feet tall." Later, they give Greg the den for a while. However, in "A Room at the Top", after cleaning out the attic, which was now full size, both Greg and Marcia want it for their own private room.
Answer: The dangling bracelet was used for dramatic purposes - to keep the audience on edge.