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Type the missing number in this sequence:\newline74,  66,  ____,  50,  42,  3474,\;66,\;\_\_\_\_,\;50,\;42,\;34

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Full solution

Q. Type the missing number in this sequence:\newline74,  66,  ____,  50,  42,  3474,\;66,\;\_\_\_\_,\;50,\;42,\;34
  1. Identify Pattern: Step 11: Identify the pattern in the sequence.\newlineWe notice that the numbers are decreasing. Let's find the difference between the first two numbers.\newlineCalculation: 74−66=874 - 66 = 8\newlineThe difference is 88.
  2. Apply Pattern: Step 22: Apply the identified pattern to find the missing number.\newlineSince the sequence decreases by 88, the next number after 6666 should be:\newlineCalculation: 66−8=5866 - 8 = 58\newlineSo, the missing number is 5858.
  3. Verify Continuation: Step 33: Verify the pattern continues correctly after the missing number.\newlineCalculation: 58−8=5058 - 8 = 50 (matches the next number in the sequence)\newlineThen, 50−8=4250 - 8 = 42 (also matches)\newlineFinally, 42−8=3442 - 8 = 34 (correct as well)

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