Analysis (Communication) After learning about the number and its pattern, how will you categorize Fo Sequence? Answer: Abstraction (Critical Thinking) Write the next three terms of the following sequences. 1) 9, 18, 27, 36, 45, ... 2) 1, 2, 4, 7, 11,... 3) 100, 78, 54, 28, 0, ... 4) 30, 35, 45, 60, 80, ... Answer Answer Answer: Answer: 5) 151, 149, 145, 137, m 5 13 21 29 37 Answer: 9) 8'8'8 10) √2, 12+ √2, 24+ √2, 36+ √2, 48+ √2, ... Answer: Application (Creativity) Create a sequence satisfying the following: Prove that it satisfies the given condition. 1. The tenth term is 100. 2. The first term is 12. 12 A Course Module for Mathematics in the Modern World 8 A Cours 3. The Summar The patte related to is added Chapter The To f terr The Chapte 1. An 1. 2.
Answer (1)
Analysis (Communication): Sequences can be categorized based on how numbers progress. If the difference is constant, it’s an arithmetic sequence. If the ratio is constant, it’s a geometric sequence. Others may be recursive or special patterns.Abstraction (Critical Thinking):9, 18, 27, 36, 45… → add 9 → next terms: 54, 63, 72.1, 2, 4, 7, 11… → pattern is +1, +2, +3, +4 → next: 16, 22, 29.100, 78, 54, 28, 0… → pattern is -22, -24, -26, -28 → next: -30, -61, -93.30, 35, 45, 60, 80… → differences are +5, +10, +15, +20 → next: 105, 135, 170.151, 149, 145, 137… → -2, -4, -8 → doubling subtractions → next: 121, 89, 25.8’, 8’, 8 → constant → next: 8, 8, 8.√2, 12+√2, 24+√2, 36+√2, 48+√2 → add 12 → next: 60+√2, 72+√2, 84+√2.These exercises show how identifying patterns helps predict future terms logically.
