MIP1502 ASSIGNMENT 3 | POSSIBLE ANSWERS | DUE: 18 JULY 2025

, QUESTION 1


1.1.1

1.1.1.1 First differences:


DESCRIPTION DIFFERENCES PATTERN

Small triangles: 3, 5, 7, 9, 11 (1, 4, 9, 16, 25, 36)

Black triangles: 2, 2, 2, 2, 2 (1, 3, 5, 7, 9, 11)

Grey triangles: 1, 2, 3, 4 (0, 1, 3, 6, 10)

White triangles: 0, 1, 2, 3, 4 (0, 0, 1, 3, 6, 10)


1.1.1.2 Classification


Small triangles: Quadratic (differences increase by 2)


Black triangles: Linear (constant difference)


Grey triangles: Quadratic


White triangles: Quadratic


1.1.1.3 Mathematical Justification:


A linear pattern is identified by having a constant first difference. In the

case of the Black triangles, the consistent difference of 2 confirms that the