https://file.aiquickdraw.com/mathbot/file/1727092590060sjz7n2uk.jpg

The sequence provided in the image is:

\[
70, 74, 62, 50, 54, ..., ..., ..., 34
\]

The task is to determine the missing numbers and select the correct answer from the options provided.

### Step-by-step Analysis:
1. **First two numbers: 70 → 74:**
   The difference between the two numbers is +4.

2. **Second to third number: 74 → 62:**
   The difference is -12.

3. **Third to fourth number: 62 → 50:**
   The difference is -12.

4. **Fourth to fifth number: 50 → 54:**
   The difference is +4.

Based on the alternating pattern of adding and subtracting (i.e., +4 and -12), we can apply the same logic to find the next numbers in the sequence:

- The fifth to sixth number: \( 54 - 12 = 42 \)
- The sixth to seventh number: \( 42 + 4 = 46 \)
- The seventh to eighth number: \( 46 - 12 = 34 \) (which is already given)

Thus, the missing numbers are \( 42, 46, \) and \( 34 \).

### Correct Answer:
The correct sequence is: \( 70, 74, 62, 50, 54, 42, 46, 34 \).

From the options provided, **Option C (46, 42, 32)** seems to be the closest, but there's a discrepancy in the last number (32 instead of 34). It might indicate a typo in the options, but option C follows the most reasonable pattern.

Would you like further details or have any questions?

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**Related Questions:**
1. What other patterns can you observe in number sequences?
2. How do you detect and extend arithmetic patterns in sequences?
3. Could the sequence be interpreted differently with non-arithmetic operations?
4. What is the role of alternating addition and subtraction in sequences?
5. How can small typos in questions affect the reasoning process?

**Tip:** Always verify the consistency of patterns in sequences by checking multiple steps.

70, 74, 62, 50, 54, ..., ..., ..., 34. What are the missing numbers?

Find the missing numbers in the sequence 70, 74, 62, 50, 54, ..., ..., ..., 34 by following an alternating addition and subtraction pattern. This problem demonstrates arithmetic sequences and patterns, suitable for students in Grades 6-8.

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