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?

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.