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Type the missing number in this sequence:\newline7676, ____\_\_\_\_, 7272, 7070, 6868

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Full solution

Q. Type the missing number in this sequence:\newline7676, ____\_\_\_\_, 7272, 7070, 6868
  1. Find Pattern: First, let's find the pattern by subtracting each number from the previous one. Start from the end of the sequence.\newlineCalculation: 70−68=270 - 68 = 2, 72−70=272 - 70 = 2
  2. Identify Arithmetic Sequence: The differences are consistent, showing a decrease of 22 each time. This suggests an arithmetic sequence with a common difference of −2-2.
  3. Find Missing Number: To find the missing number, subtract 22 from 7676.\newlineCalculation: 76−2=7476 - 2 = 74
  4. Verify Correctness: Now, let's check if 7474 fits correctly by subtracting it from 7272.\newlineCalculation: 72−74=−272 - 74 = -2

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