3. Bryn has a sheet of paper. He cuts the paper in half to produce two pieces. Bryn places one
piece on top of the other. He then cuts these pieces in half. The pattern continues. The table
shows some of the results.
Number of Cuts
4
5
6
7
8
9
10
Number of Pieces
a. Complete this table.
b. What patterns do you see in the number of pieces?
C. Use a pattern to find the number of pieces after 15 cuts.
d. Write an algebraic expression for the number of pieces after n cuts.