Page 97 - NUMINO Challenge_B1
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11 Sierpinski Triangle
Basic Concepts Expressing Multiplication
Stones are arranged as shown below. The number of stones in the nth
arrangement can be found by using multiplication.
There are 2 stones in the first arrangement, 6 stones in the second
arrangement, and 12 stones in the third arrangement. The number of stones
in each arrangement can be expressed as 1 2, 2 3, and 3 4. Thus, the
number of stones in the tenth arrangement is 10 11 pieces.
Example Stones are arranged as shown below. How many squares will there
be in the seventh arrangement?
Class Notes
The number of squares in the first, second, and third arrangements is 1, , and
respectively.
The number of squares in each arrangement can be expressed as 1 1, 2 2, and
.
Using multiplication, the number of squares in the seventh arrangement is
.
94 NUMINO Challenge B1
Basic Concepts Expressing Multiplication
Stones are arranged as shown below. The number of stones in the nth
arrangement can be found by using multiplication.
There are 2 stones in the first arrangement, 6 stones in the second
arrangement, and 12 stones in the third arrangement. The number of stones
in each arrangement can be expressed as 1 2, 2 3, and 3 4. Thus, the
number of stones in the tenth arrangement is 10 11 pieces.
Example Stones are arranged as shown below. How many squares will there
be in the seventh arrangement?
Class Notes
The number of squares in the first, second, and third arrangements is 1, , and
respectively.
The number of squares in each arrangement can be expressed as 1 1, 2 2, and
.
Using multiplication, the number of squares in the seventh arrangement is
.
94 NUMINO Challenge B1
