https://file.aiquickdraw.com/mathbot/file/17276297468457uyiinx6.jpg

The given sequence is:

\[ 5 - 6 - 7 - 5 - 6 - 7 - 8 - 5 - 6 - 7 - 8 - 9 - \dots \]

Let's analyze this pattern:

1. The numbers start at 5 and seem to follow a repeating block pattern.
2. First block: \( 5 - 6 - 7 \)
3. Second block: \( 5 - 6 - 7 - 8 \)
4. Third block: \( 5 - 6 - 7 - 8 - 9 \)
5. Based on this, it looks like each new block adds one more number to the sequence.

The next block would logically be:

\[ 5 - 6 - 7 - 8 - 9 - 10 \]

Looking at the provided answer choices:
- The sequence seems to reset to "5-6" as the repeating pattern extends. So the answer that matches this is **a. 5-6**.

Would you like further clarification or details?

Here are some related questions:
1. How can you identify patterns in numerical sequences?
2. What is the importance of finding repeating blocks in sequences?
3. Can this kind of pattern appear in arithmetic or geometric sequences?
4. How would you determine the 20th term in this sequence?
5. How do you determine if a sequence is finite or infinite?

**Tip:** When solving sequence problems, look for repeating blocks and changes in length or direction of the numbers for clues!

Analyze a repeating numerical sequence, such as 5-6-7-8-9, and identify the next logical term in the pattern. This problem focuses on pattern recognition and is suitable for students in Grades 5-7.

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