MIP1502 Assignment 3 (100% ANSWERS) 2025 - DUE 18 July 2025

MIP1502 Assignment 3 (100% ANSWERS) 2025 - DUE 18 July 2025 ..................Question 1 1.1 The diagram below shows small, black, grey and white triangles forming a pattern. The table below shows the number of triangles in each diagram. Diagram 1 2 3 4 5 6 7 8 9 10 Small triangles 1 4 9 16 25 36 Black triangle 1 3 5 7 9 11 Grey triangles 0 1 3 6 10 White triangles 0 0 1 3 6 10 1.1.1 Analyse the four patterns presented in the table (Small triangles, Black triangles, Grey triangles, and White triangles). 1.1.1.1 For each pattern, determine the first differences between consecutive terms. (1) 1.1.1.2 Based on the differences, classify each pattern as either linear or quadratic. (1) 1.1.1.3 Provide a mathematical justification for your classification of the 'Small triangles' and 'Black triangles' patterns, referencing the concept of a 'constant difference' as a key feature of linear sequences. (2) 1.1.2 The CAPS document emphasises representing patterns in various equivalent forms. For the Grey and White triangle patterns: 1.1.2.1 Describe in words how each pattern grows from one diagram to the next. (2) 1.1.2.2 Design two separate flow diagrams that model the process of finding the number of triangles (output) for any given diagram number (input,