Let's solve each of the pattern-generating problems step by step. We are to generate
5 terms for each pattern based on the given rule.
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1. Start with 6 and add 4.
- Start: 6
- Add 4 each time:
- 6 + 4 = 10
- 10 + 4 = 14
- 14 + 4 = 18
- 18 + 4 = 22
✔ Pattern:
6, 10, 14, 18, 22
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2. Start with 10 and multiply by 2.
- Start: 10
- Multiply by 2 each time:
- 10 × 2 = 20
- 20 × 2 = 40
- 40 × 2 = 80
- 80 × 2 = 160
✔ Pattern:
10, 20, 40, 80, 160
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3. Start with 36 and subtract 3.
- Start: 36
- Subtract 3 each time:
- 36 − 3 = 33
- 33 − 3 = 30
- 30 − 3 = 27
- 27 − 3 = 24
✔ Pattern:
36, 33, 30, 27, 24
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4. Start with 1 and multiply by 4.
- Start: 1
- Multiply by 4 each time:
- 1 × 4 = 4
- 4 × 4 = 16
- 16 × 4 = 64
- 64 × 4 = 256
✔ Pattern:
1, 4, 16, 64, 256
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5. Start with 9 and add 11.
- Start: 9
- Add 11 each time:
- 9 + 11 = 20
- 20 + 11 = 31
- 31 + 11 = 42
- 42 + 11 = 53
✔ Pattern:
9, 20, 31, 42, 53
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6. Start with 15 and add 3 and 5 alternatively.
- Start: 15
- Alternately add 3 and 5:
- 15 + 3 = 18
- 18 + 5 = 23
- 23 + 3 = 26
- 26 + 5 = 31
✔ Pattern:
15, 18, 23, 26, 31
> Explanation: The pattern alternates between adding 3 and 5:
> - 15 → +3 → 18 → +5 → 23 → +3 → 26 → +5 → 31
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7. Start with 2,000 and divide by 2.
- Start: 2000
- Divide by 2 each time:
- 2000 ÷ 2 = 1000
- 1000 ÷ 2 = 500
- 500 ÷ 2 = 250
- 250 ÷ 2 = 125
✔ Pattern:
2000, 1000, 500, 250, 125
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✔ Final Answers:
1.
6, 10, 14, 18, 22
2.
10, 20, 40, 80, 160
3.
36, 33, 30, 27, 24
4.
1, 4, 16, 64, 256
5.
9, 20, 31, 42, 53
6.
15, 18, 23, 26, 31
7.
2000, 1000, 500, 250, 125
These are all arithmetic or geometric sequences following the rules provided. Let me know if you'd like them explained in a table or visual format!
Parent Tip: Review the logic above to help your child master the concept of number pattern worksheet 4th grade.
