MIP1502 Assignment 3 2025 (Year Module) 2 in 1 - DUE 18th of JULY 2025

PROPERTY OF

VarsityTimes
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TAKE YOUR PICK (OPTION A or B)
QUESTION 1
COMPLETE TABLE

Diagram (n) 1 2 3 4 5 6 7 8 9 10

Small triangles 1 4 9 16 25 36 49 64 81 100

Black triangles 1 3 5 7 9 11 13 15 17 19

Grey triangles 0 1 3 6 10 15 21 28 36 45

White triangles 0 0 1 3 6 10 15 21 28 36


1.1.1 First differences and classification

1.1.1.1 First differences

Small triangles (1, 4, 9, 16, 25, 36, 49, 64, 81, 100)
First differences: 3, 5, 7, 9, 11, 13, 15, 17, 19

QUESTION 1
Black triangles (1, 3, 5, 7, 9, 11, 13, 15, 17, 19)
COMPLETE TABLE (Same as the one
First differences: 2, 2, 2, 2, 2, 2, 2, 2, 2
above)

1.1.1 Analysis of Patterns

1.1.1.1
Grey First differences(0,
triangles between
1, consecutive
3, 6,terms 10, 15, 21, 28, 36, 45)
First differences: 1, 2, 3, 4, 5, 6, 7, 8, 9
Small triangles (1, 4, 9, 16, 25, 36, 49, 64, 81, 100):
First differences: 3, 5, 7, 9, 11, 13, 15, 17, 19
White triangles (0, 0, 1, 3, 6, 10, 15, 21, 28, 36)
Black triangles (1,
First differences: 0, 1,3,2,5,3,7,4,9,
5, 11,
6, 7,13,
8 15, 17, 19):
First differences: 2, 2, 2, 2, 2, 2, 2, 2, 2

Grey triangles (0, 1, 3, 6, 10, 15, 21, 28, 36, 45):
Disclaimer:
First differences:
The materials 1, 2,
provided are 3, 4, 5, for
intended 6, 7,educational
8, 9 and informational purposes only. They
should not be submitted as original work or used in violation of any academic institution's
White triangles (0, 0, 1, 3, 6, 10, 15, 21, 28, 36):
policies. The buyer is solely responsible for how the materials are used.
First differences: 0, 1, 2, 3, 4, 5, 6, 7, 8