- Cannonballs can be stacked to form a pyramid with a triangular base. Five of these pyramids are shown below. Use these figures in Exercises 15 and 16. a1 = 1 az = 4 az = 10 a4 = 20 az = 35 15. a. Use a difference table to predict the number of can- nonballs in the sixth pyramid and in the seventh pyramid. b. Write a few sentences that describe the eighth pyramid in the sequence. 16. The sequence formed by the numbers of cannonballs in the above pyramids is called the tetrahedral sequence. The nth-term formula for the tetrahedral sequence is Tetrahedral, = n(n + 1)(n + 2) Find Tetrahedral10-

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Cannonballs can be stacked to form a pyramid with a triangular base. Five of these pyramids are shown below. Use the figure in exercise 15 and 16
- Cannonballs can be stacked to form a pyramid with a
triangular base. Five of these pyramids are shown below. Use
these figures in Exercises 15 and 16.
a1 = 1
az = 4
az = 10
a4 = 20
a5 = 35
15. a. Use a difference table to predict the number of can-
nonballs in the sixth pyramid and in the seventh
рyramid.
Write a few sentences that describe the eighth
pyramid in the sequence.
b.
16. The sequence formed by the numbers of cannonballs
in the above pyramids is called the tetrahedral sequence.
The nth-term formula for the tetrahedral sequence is
1
Tetrahedral, = -n(n + 1)(n + 2)
Find Tetrahedraljo-
17. Pieces vs. Cuts One cut of a stick of licorice produces
two pieces. Two cuts produce three pieces. Three cuts
produce four pieces.
Transcribed Image Text:- Cannonballs can be stacked to form a pyramid with a triangular base. Five of these pyramids are shown below. Use these figures in Exercises 15 and 16. a1 = 1 az = 4 az = 10 a4 = 20 a5 = 35 15. a. Use a difference table to predict the number of can- nonballs in the sixth pyramid and in the seventh рyramid. Write a few sentences that describe the eighth pyramid in the sequence. b. 16. The sequence formed by the numbers of cannonballs in the above pyramids is called the tetrahedral sequence. The nth-term formula for the tetrahedral sequence is 1 Tetrahedral, = -n(n + 1)(n + 2) Find Tetrahedraljo- 17. Pieces vs. Cuts One cut of a stick of licorice produces two pieces. Two cuts produce three pieces. Three cuts produce four pieces.
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