Problem: Number Patterns
The task is to identify the pattern in each sequence of numbers and write the next three numbers in each sequence.
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Solution:
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1. Sequence: 1, 3, 5, 7, ...
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Pattern: The numbers are increasing by 2 each time.
- \( 1 + 2 = 3 \)
- \( 3 + 2 = 5 \)
- \( 5 + 2 = 7 \)
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Next numbers:
- \( 7 + 2 = 9 \)
- \( 9 + 2 = 11 \)
- \( 11 + 2 = 13 \)
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Answer: 9, 11, 13
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2. Sequence: 2, 4, 6, 8, 10, ...
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Pattern: The numbers are increasing by 2 each time.
- \( 2 + 2 = 4 \)
- \( 4 + 2 = 6 \)
- \( 6 + 2 = 8 \)
- \( 8 + 2 = 10 \)
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Next numbers:
- \( 10 + 2 = 12 \)
- \( 12 + 2 = 14 \)
- \( 14 + 2 = 16 \)
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Answer: 12, 14, 16
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3. Sequence: 24, 34, 44, 54, ...
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Pattern: The numbers are increasing by 10 each time.
- \( 24 + 10 = 34 \)
- \( 34 + 10 = 44 \)
- \( 44 + 10 = 54 \)
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Next numbers:
- \( 54 + 10 = 64 \)
- \( 64 + 10 = 74 \)
- \( 74 + 10 = 84 \)
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Answer: 64, 74, 84
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4. Sequence: 3, 6, 9, 12, 15, ...
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Pattern: The numbers are increasing by 3 each time.
- \( 3 + 3 = 6 \)
- \( 6 + 3 = 9 \)
- \( 9 + 3 = 12 \)
- \( 12 + 3 = 15 \)
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Next numbers:
- \( 15 + 3 = 18 \)
- \( 18 + 3 = 21 \)
- \( 21 + 3 = 24 \)
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Answer: 18, 21, 24
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5. Sequence: 35, 40, 45, 50, ...
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Pattern: The numbers are increasing by 5 each time.
- \( 35 + 5 = 40 \)
- \( 40 + 5 = 45 \)
- \( 45 + 5 = 50 \)
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Next numbers:
- \( 50 + 5 = 55 \)
- \( 55 + 5 = 60 \)
- \( 60 + 5 = 65 \)
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Answer: 55, 60, 65
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6. Sequence: 11, 22, 33, 44, ...
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Pattern: The numbers are increasing by 11 each time.
- \( 11 + 11 = 22 \)
- \( 22 + 11 = 33 \)
- \( 33 + 11 = 44 \)
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Next numbers:
- \( 44 + 11 = 55 \)
- \( 55 + 11 = 66 \)
- \( 66 + 11 = 77 \)
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Answer: 55, 66, 77
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7. Sequence: 9, 19, 29, 39, ...
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Pattern: The numbers are increasing by 10 each time.
- \( 9 + 10 = 19 \)
- \( 19 + 10 = 29 \)
- \( 29 + 10 = 39 \)
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Next numbers:
- \( 39 + 10 = 49 \)
- \( 49 + 10 = 59 \)
- \( 59 + 10 = 69 \)
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Answer: 49, 59, 69
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Final Answers:
1.
9, 11, 13
2.
12, 14, 16
3.
64, 74, 84
4.
18, 21, 24
5.
55, 60, 65
6.
55, 66, 77
7.
49, 59, 69
Boxed Final Answer:
\[
\boxed{9, 11, 13; 12, 14, 16; 64, 74, 84; 18, 21, 24; 55, 60, 65; 55, 66, 77; 49, 59, 69}
\]
Parent Tip: Review the logic above to help your child master the concept of mathematics number patterns worksheet.
