Fold a rope in half twice and then cut it in the middle. There are five sections after cutting.

Analysis:

Fold a rope in half 1 time, cut it from the middle, and the rope becomes three sections;

There are 2 1+ 1 = 3. Fold a rope in half twice, cut it from the middle, and the rope becomes five sections;

There is 22+ 1 = 5. By analogy, a rope is folded in half for n times, and the rope becomes 2n+ 1 segment after being completely cut from the middle.

Answer: According to the analysis, 2+2+ 1=4+ 1=5 (segment) Answer: There are five segments of the cut rope. So the answer is: 5.