Follow the Rules: Number Patterns | Worksheet - Free Printable

Absolutely! Let’s solve the worksheet step by step.

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## 🧩 Part 1: Write the next number in the sequence. Then, write what the pattern is for that sequence.

1. 2, 4, 6, 8, 10, 12, ___

- Next number: 14
- Pattern: Add 2 (or “Even numbers increasing by 2”)

✔ *Explanation*: Each number increases by 2. So after 12 comes 14.

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2. 3, 6, 9, 12, 15, 18, ___

- Next number: 21
- Pattern: Add 3 (or “Multiples of 3”)

✔ *Explanation*: This is the 3 times table. 18 + 3 = 21.

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3. 23, 20, 17, 14, 11, 8, ___

- Next number: 5
- Pattern: Subtract 3

✔ *Explanation*: Each number decreases by 3. 8 - 3 = 5.

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4. 4, 14, 24, 34, 44, 54, ___

- Next number: 64
- Pattern: Add 10

✔ *Explanation*: Each number increases by 10. 54 + 10 = 64.

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5. 52, 44, 36, 28, 20, 12, ___

- Next number: 4
- Pattern: Subtract 8

✔ *Explanation*: 52 - 8 = 44, 44 - 8 = 36, etc. So 12 - 8 = 4.

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6. 7, 14, 21, 28, 35, 42, ___

- Next number: 49
- Pattern: Add 7 (or “Multiples of 7”)

✔ *Explanation*: This is the 7 times table. 42 + 7 = 49.

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## ✏️ Part 2: Write the next number in each sequence according to the rule.

1. Add 5 → 55, 60, 65, ___, ___, ___

- Next numbers: 70, 75, 80

✔ *Explanation*: Start at 65 → 65 + 5 = 70 → 70 + 5 = 75 → 75 + 5 = 80.

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2. Subtract 11 → 88, 77, ___, ___, ___

- Next numbers: 66, 55, 44

✔ *Explanation*: 77 - 11 = 66 → 66 - 11 = 55 → 55 - 11 = 44.

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3. Add 9 → 0, ___, ___, ___

- Next numbers: 9, 18, 27

✔ *Explanation*: 0 + 9 = 9 → 9 + 9 = 18 → 18 + 9 = 27.

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## 🎯 Final Answers Summary:

Part 1:

1. 14 — Add 2
2. 21 — Add 3
3. 5 — Subtract 3
4. 64 — Add 10
5. 4 — Subtract 8
6. 49 — Add 7

Part 2:

1. 70, 75, 80
2. 66, 55, 44
3. 9, 18, 27

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Let me know if you’d like this formatted as a printable answer sheet or explained with visuals! 😊