Number Sequences and Rules
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Number Sequences and Rules
🔢 Part 1: Understanding Sequences
a) 2, 4, 6, 8, 10 ...
Sequence Not a sequenceb) red, blue, green, yellow
Sequence Not a sequencec) 5, 3, 8, 1, 9
Sequence Not a sequenceTerm: ___________________________________
Finite sequence: ___________________________________
Infinite sequence: ___________________________________
📈 Part 2: Term-to-Term Rules
a) 3, 7, 11, 15, 19, _____, _____, _____
Term-to-term rule: ___________________________________
b) 2, 6, 18, 54, _____, _____, _____
Term-to-term rule: ___________________________________
c) 100, 90, 80, 70, _____, _____, _____
Term-to-term rule: ___________________________________
🎯 Part 3: Position-to-Term Rules (nth term)
a) T1 = _____ b) T3 = _____ c) T5 = _____ d) T10 = _____
⭐ Part 4: Special Sequences
| Sequence Type | Formula | First 5 terms | 6th term |
|---|---|---|---|
| Square numbers | Tn = _____ | _______________ | _____ |
| Cube numbers | Tn = _____ | _______________ | _____ |
| Triangular numbers | Tn = _____ | _______________ | _____ |
a) 1, 8, 27, 64, 125...
Square Cube Triangularb) 1, 3, 6, 10, 15...
Square Cube Triangularc) 4, 9, 16, 25, 36...
Square Cube Triangular🧠 Part 5: Problem Solving
a) What is the term-to-term rule? ___________________
b) What is the position-to-term rule? Tn = ___________________
c) What is the 20th term? Show your working:
Pattern 1: 1 dot, Pattern 2: 3 dots, Pattern 3: 6 dots, Pattern 4: 10 dots
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