(Solved): Question 1 1.1 The diagram bolow shows small, black, grey and white triangles forming a pattern. MIP ...

Question 1 1.1 The diagram bolow shows small, black, grey and white triangles forming a pattern. MIP1502/102_3/0/2025 \table[[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)