Math worksheet for completing number series with blank spaces for missing numbers.

To solve the problem of completing the number series, we need to identify the pattern in each sequence. Let's analyze each row step by step.

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Row 1:

Sequence: \( 5, 6, \_, \_, 9, \_, \_, \_ \)

- The difference between the first two numbers is \( 6 - 5 = 1 \).
- Assuming the pattern is an increment of 1, the next numbers would be:
- \( 6 + 1 = 7 \)
- \( 7 + 1 = 8 \)
- \( 9 + 1 = 10 \)
- \( 10 + 1 = 11 \)
- \( 11 + 1 = 12 \)

So, the completed sequence is:
\[ 5, 6, 7, 8, 9, 10, 11, 12 \]

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Row 2:

Sequence: \( \_, 11, \_, \_, \_, 15, \_, 17 \)

- The last two numbers are \( 15 \) and \( 17 \), with a difference of \( 17 - 15 = 2 \).
- Assuming the pattern is an increment of 2, working backward:
- \( 11 - 2 = 9 \) (first number)
- The sequence is: \( 9, 11, 13, 15, 17 \)
- Filling in the missing numbers:
- \( 9, 11, 13, 15, 17 \)

So, the completed sequence is:
\[ 9, 11, 13, 15, 17 \]

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Row 3:

Sequence: \( 7, \_, \_, \_, 11, \_, 13, \_ \)

- The difference between \( 11 \) and \( 13 \) is \( 13 - 11 = 2 \).
- Assuming the pattern is an increment of 2:
- Numbers before 11: \( 7, 9, 11 \)
- Numbers after 11: \( 11, 13, 15 \)

So, the completed sequence is:
\[ 7, 9, 11, 13, 15 \]

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Row 4:

Sequence: \( \_, 5, \_, \_, \_, 9, \_, 11 \)

- The difference between \( 9 \) and \( 11 \) is \( 11 - 9 = 2 \).
- Assuming the pattern is an increment of 2:
- Numbers before 5: \( 3, 5, 7, 9, 11 \)
- The sequence is: \( 3, 5, 7, 9, 11 \)

So, the completed sequence is:
\[ 3, 5, 7, 9, 11 \]

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Row 5:

Sequence: \( \_, \_, 3, \_, 5, 6, \_, \_ \)

- The difference between \( 5 \) and \( 6 \) is \( 6 - 5 = 1 \).
- Assuming the pattern is an increment of 1:
- Numbers before 3: \( 1, 2, 3 \)
- Numbers after 5: \( 5, 6, 7, 8 \)

So, the completed sequence is:
\[ 1, 2, 3, 4, 5, 6, 7, 8 \]

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Row 6:

Sequence: \( 13, \_, \_, \_, 17, 18, \_, \_ \)

- The difference between \( 17 \) and \( 18 \) is \( 18 - 17 = 1 \).
- Assuming the pattern is an increment of 1:
- Numbers before 17: \( 13, 14, 15, 16, 17 \)
- Numbers after 18: \( 18, 19, 20 \)

So, the completed sequence is:
\[ 13, 14, 15, 16, 17, 18, 19, 20 \]

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Row 7:

Sequence: \( \_, 12, 13, \_, 15, \_, \_, \_ \)

- The difference between \( 12 \) and \( 13 \) is \( 13 - 12 = 1 \).
- Assuming the pattern is an increment of 1:
- Numbers before 12: \( 11, 12, 13 \)
- Numbers after 13: \( 14, 15, 16, 17 \)

So, the completed sequence is:
\[ 11, 12, 13, 14, 15, 16, 17 \]

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Row 8:

Sequence: \( \_, 1, \_, \_, \_, 6, 7 \)

- The difference between \( 6 \) and \( 7 \) is \( 7 - 6 = 1 \).
- Assuming the pattern is an increment of 1:
- Numbers before 1: \( 0, 1, 2, 3, 4, 5, 6, 7 \)

So, the completed sequence is:
\[ 0, 1, 2, 3, 4, 5, 6, 7 \]

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Row 9:

Sequence: \( 9, \_, \_, \_, 13, \_, \_, 16 \)

- The difference between \( 13 \) and \( 16 \) is \( 16 - 13 = 3 \).
- Assuming the pattern is an increment of 1:
- Numbers before 13: \( 9, 10, 11, 12, 13 \)
- Numbers after 13: \( 13, 14, 15, 16 \)

So, the completed sequence is:
\[ 9, 10, 11, 12, 13, 14, 15, 16 \]

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Row 10:

Sequence: \( 12, 13, \_, \_, \_, 17, \_, \_ \)

- The difference between \( 13 \) and \( 17 \) is \( 17 - 13 = 4 \).
- Assuming the pattern is an increment of 1:
- Numbers before 17: \( 12, 13, 14, 15, 16, 17 \)
- Numbers after 17: \( 17, 18, 19 \)

So, the completed sequence is:
\[ 12, 13, 14, 15, 16, 17, 18, 19 \]

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Final Answer:

\[
\boxed{
\begin{array}{l}
5, 6, 7, 8, 9, 10, 11, 12 \\
9, 11, 13, 15, 17 \\
7, 9, 11, 13, 15 \\
3, 5, 7, 9, 11 \\
1, 2, 3, 4, 5, 6, 7, 8 \\
13, 14, 15, 16, 17, 18, 19, 20 \\
11, 12, 13, 14, 15, 16, 17 \\
0, 1, 2, 3, 4, 5, 6, 7 \\
9, 10, 11, 12, 13, 14, 15, 16 \\
12, 13, 14, 15, 16, 17, 18, 19 \\
\end{array}
}
\]