Exam (elaborations)
MIP1502 Assignment 4 2024
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MIP1502 Assignment 4 2024
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By: gsehlora • 3 months ago
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•••••••
MIP1502
ASSIGNMENT 4 2024
DUE: 16 AUGUST 2024
•••••
SEMESTER 2 2024 ••••••
, MIP1502/102/0/2024
Question 1
1.1 A tiling pattern is made by arranging black and red squares, as shown below:
■■■■■
■■■■ ■■■■■
■■■ ■■■■ ■■■■■
■■■ ■■■■ ■■■■■
■■■ ■■■■ IE
Tile no (𝑛) 1 2 3 4 5 6 27
Tile length (𝑙) 3 4 5 6 7 8 29
Number of red squares (𝑅) 4 6 8 10 12 14 56
Number of black squares (𝐵) 5 10 17 26 37 50 785
Total number of squares (𝑆) 9 16 25 36 49 64 841
1.1.2 Given that the length of tile number 1 is 3, what is the length of tile
number 7? Explain your thinking
Given that the tile length increases by 1 unit for each subsequent tile number, we can
deduce the following pattern:
• Tile no. 1 has a length of 3.
• Tile no. 2 has a length of 4.
• Tile no. 3 has a length of 5.
This pattern shows that the length of the tile increases by 1 for each subsequent tile
number.
Tile no. 7, the length will be
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