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Type the missing numbers in this sequence:\newline7777, _\_, 7373, _\_, 6969, 6767, 6565

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Q. Type the missing numbers in this sequence:\newline7777, _\_, 7373, _\_, 6969, 6767, 6565
  1. Determine Pattern: We need to determine the pattern in the sequence to find the missing numbers. Let's look at the numbers we have: 77,73,69,67,6577, 73, 69, 67, 65. It seems that the sequence is decreasing, but we need to find the exact difference between the numbers.
  2. Find Differences: Let's find the difference between the consecutive numbers that we have: 7377=473 - 77 = -4, 6973=469 - 73 = -4. It appears that the sequence decreases by 44 each time. However, we notice that the difference between 6767 and 6969 is only 2-2. This suggests that the pattern might alternate between subtracting 44 and subtracting 22.
  3. Confirm Pattern: To confirm the pattern, let's check the difference between 6767 and 6565: 6567=265 - 67 = -2. This confirms that the pattern is to subtract 44, then subtract 22, and repeat. Now we can use this pattern to find the missing numbers.
  4. Find Missing Numbers: The first missing number comes after 7777. According to the pattern, we should subtract 44: 774=7377 - 4 = 73. But since 7373 is already the next number in the sequence, we must have made a mistake. The pattern is not simply subtracting 44 each time; it alternates between subtracting 44 and subtracting 22. We need to correct this.

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