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Type the missing number in this sequence:\newline64,64, 58,58, 52,52, _____,\_\_\_\_\_, 4040

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Q. Type the missing number in this sequence:\newline64,64, 58,58, 52,52, _____,\_\_\_\_\_, 4040
  1. Determine Pattern in Sequence: We need to determine the pattern in the sequence to find the missing number. Let's look at the difference between the first two numbers.\newlineCalculation: 5864=658 - 64 = -6\newlineThe difference is 6-6, which suggests that the sequence might be decreasing by 66 each time.
  2. Check Pattern Continuation: Let's check if the pattern continues with the next number in the sequence.\newlineCalculation: 5258=652 - 58 = -6\newlineThe difference is again 6-6, confirming our pattern.
  3. Apply Pattern to Find Missing Number: Now, we can apply the pattern to find the missing number in the sequence. We subtract 66 from the last known number, which is 5252.\newlineCalculation: 526=4652 - 6 = 46\newlineThe missing number should be 4646.
  4. Verify Pattern Consistency: To ensure we haven't made a mistake, let's check if the pattern holds for the next number in the sequence after the missing number.\newlineCalculation: 4046=640 - 46 = -6\newlineThe difference is 6-6, which means our pattern is consistent and our calculation for the missing number is correct.

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