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.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

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step-by-step explanation: