Identify number patterns and complete the sequences in this printable math worksheet.

To solve the problem of identifying number patterns and filling in the missing numbers, we need to analyze each sequence individually and determine the rule governing the pattern. Let's go through each sequence step by step:

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1. Sequence: 2, 4, 6, 8, 10, ______, ______, ______

- Pattern: The numbers increase by 2 each time.
- Missing numbers:
- Next number: \(10 + 2 = 12\)
- Next number: \(12 + 2 = 14\)
- Next number: \(14 + 2 = 16\)

Answer: 12, 14, 16

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2. Sequence: 17, 19, 21, 23, 25, ______, ______, ______

- Pattern: The numbers increase by 2 each time.
- Missing numbers:
- Next number: \(25 + 2 = 27\)
- Next number: \(27 + 2 = 29\)
- Next number: \(29 + 2 = 31\)

Answer: 27, 29, 31

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3. Sequence: 48, 44, 40, 36, 32, ______, ______, ______

- Pattern: The numbers decrease by 4 each time.
- Missing numbers:
- Next number: \(32 - 4 = 28\)
- Next number: \(28 - 4 = 24\)
- Next number: \(24 - 4 = 20\)

Answer: 28, 24, 20

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4. Sequence: 10, 15, 20, 25, 30, ______, ______, ______

- Pattern: The numbers increase by 5 each time.
- Missing numbers:
- Next number: \(30 + 5 = 35\)
- Next number: \(35 + 5 = 40\)
- Next number: \(40 + 5 = 45\)

Answer: 35, 40, 45

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5. Sequence: 27, 25, 23, 21, 19, ______, ______, ______

- Pattern: The numbers decrease by 2 each time.
- Missing numbers:
- Next number: \(19 - 2 = 17\)
- Next number: \(17 - 2 = 15\)
- Next number: \(15 - 2 = 13\)

Answer: 17, 15, 13

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6. Sequence: 6, 12, 18, 24, 30, ______, ______, ______

- Pattern: The numbers increase by 6 each time.
- Missing numbers:
- Next number: \(30 + 6 = 36\)
- Next number: \(36 + 6 = 42\)
- Next number: \(42 + 6 = 48\)

Answer: 36, 42, 48

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7. Sequence: 1, 3, 5, 7, 9, ______, ______, ______

- Pattern: The numbers increase by 2 each time.
- Missing numbers:
- Next number: \(9 + 2 = 11\)
- Next number: \(11 + 2 = 13\)
- Next number: \(13 + 2 = 15\)

Answer: 11, 13, 15

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8. Sequence: 40, 38, 36, 34, 32, ______, ______, ______

- Pattern: The numbers decrease by 2 each time.
- Missing numbers:
- Next number: \(32 - 2 = 30\)
- Next number: \(30 - 2 = 28\)
- Next number: \(28 - 2 = 26\)

Answer: 30, 28, 26

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9. Sequence: 12, 15, 18, 21, 24, ______, ______, ______

- Pattern: The numbers increase by 3 each time.
- Missing numbers:
- Next number: \(24 + 3 = 27\)
- Next number: \(27 + 3 = 30\)
- Next number: \(30 + 3 = 33\)

Answer: 27, 30, 33

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10. Sequence: 32, 30, 28, 26, 24, ______, ______, ______

- Pattern: The numbers decrease by 2 each time.
- Missing numbers:
- Next number: \(24 - 2 = 22\)
- Next number: \(22 - 2 = 20\)
- Next number: \(20 - 2 = 18\)

Answer: 22, 20, 18

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Final Answers:

1. 12, 14, 16
2. 27, 29, 31
3. 28, 24, 20
4. 35, 40, 45
5. 17, 15, 13
6. 36, 42, 48
7. 11, 13, 15
8. 30, 28, 26
9. 27, 30, 33
10. 22, 20, 18

Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
1. \text{12, 14, 16} \\
2. \text{27, 29, 31} \\
3. \text{28, 24, 20} \\
4. \text{35, 40, 45} \\
5. \text{17, 15, 13} \\
6. \text{36, 42, 48} \\
7. \text{11, 13, 15} \\
8. \text{30, 28, 26} \\
9. \text{27, 30, 33} \\
10. \text{22, 20, 18}
\end{array}
}
\]