Pieces vs. Cuts One straight cut across a pizza produces 2 pieces. Two cuts can produce a maximum of 4 pieces. Three cuts can produce a maximum of 7 pieces. Four cuts can produce a minimum of 11 pieces. a. Use a difference table to predict the maximum number of pieces that can be produced with seven cuts. b. How are the pizza-slicing numbers related to the triangular numbers, which are defined by T r i a n g u l a r n = n ( n + 1 ) 2 ?
Pieces vs. Cuts One straight cut across a pizza produces 2 pieces. Two cuts can produce a maximum of 4 pieces. Three cuts can produce a maximum of 7 pieces. Four cuts can produce a minimum of 11 pieces. a. Use a difference table to predict the maximum number of pieces that can be produced with seven cuts. b. How are the pizza-slicing numbers related to the triangular numbers, which are defined by T r i a n g u l a r n = n ( n + 1 ) 2 ?
Solution Summary: The author explains how pizza slicing produces one number more than obtained in a triangular number sequence.
Pieces vs. Cuts One straight cut across a pizza produces
2
pieces. Two cuts can produce a maximum of
4
pieces. Three cuts can produce a maximum of
7
pieces. Four cuts can produce a minimum of
11
pieces.
a. Use a difference table to predict the maximum number of pieces that can be produced with seven cuts.
b. How are the pizza-slicing numbers related to the triangular numbers, which are defined by
T
r
i
a
n
g
u
l
a
r
n
=
n
(
n
+
1
)
2
?
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