Let’s solve each number sequence step by step. We’re looking for the rule — what you do to get from one number to the next.
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Problem 1: 6, 9, 12, 15, 18, 21
Check the difference between consecutive numbers:
- 9 - 6 =
3
- 12 - 9 =
3
- 15 - 12 =
3
- 18 - 15 =
3
- 21 - 18 =
3
✔ Rule: Add 3 each time.
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Problem 2: 3, 9, 27, 81, 243, 729
Check how we get from one to the next:
- 3 × 3 =
9
- 9 × 3 =
27
- 27 × 3 =
81
- 81 × 3 =
243
- 243 × 3 =
729
✔ Rule: Multiply by 3 each time.
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Problem 3: 42, 40, 38, 36, 34, 32
Check the differences:
- 40 - 42 =
-2
- 38 - 40 =
-2
- 36 - 38 =
-2
- 34 - 36 =
-2
- 32 - 34 =
-2
✔ Rule: Subtract 2 each time.
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Problem 4: 14, 20, 26, 32, 38, 44
Differences:
- 20 - 14 =
6
- 26 - 20 =
6
- 32 - 26 =
6
- 38 - 32 =
6
- 44 - 38 =
6
✔ Rule: Add 6 each time.
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Problem 5: 2, 6, 18, 54, 162, 486
Check multiplication:
- 2 × 3 =
6
- 6 × 3 =
18
- 18 × 3 =
54
- 54 × 3 =
162
- 162 × 3 =
486
✔ Rule: Multiply by 3 each time.
*(Note: This is similar to Problem 2, but starts with 2 instead of 3.)*
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Problem 6: 47, 42, 37, 32, 27, 22
Differences:
- 42 - 47 =
-5
- 37 - 42 =
-5
- 32 - 37 =
-5
- 27 - 32 =
-5
- 22 - 27 =
-5
✔ Rule: Subtract 5 each time.
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Final Answer:
1. Add 3
2. Multiply by 3
3. Subtract 2
4. Add 6
5. Multiply by 3
6. Subtract 5
Parent Tip: Review the logic above to help your child master the concept of what s my rule worksheet.
