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Type the missing number in this sequence:\newline5656, 5050, ____\_\_\_\_, 3838, 3232, 2626, 2020

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Full solution

Q. Type the missing number in this sequence:\newline5656, 5050, ____\_\_\_\_, 3838, 3232, 2626, 2020
  1. Identify Pattern: Step 11: Identify the pattern in the sequence.\newlineWe observe that the numbers are decreasing. Let's find the difference between consecutive terms.\newlineDifference between 5656 and 5050 is 56−50=656 - 50 = 6.
  2. Check Differences: Step 22: Check if the same difference applies to other consecutive terms.\newlineDifference between 5050 and the missing number is unknown, but let's check the next known terms.\newlineDifference between 3838 and 3232 is 38−32=638 - 32 = 6.\newlineDifference between 3232 and 2626 is 32−26=632 - 26 = 6.\newlineDifference between 2626 and 2020 is 26−20=626 - 20 = 6.\newlineIt seems the sequence decreases by 383800 each time.
  3. Calculate Missing Number: Step 33: Calculate the missing number using the identified pattern.\newlineIf the pattern of decreasing by 66 continues, the number before 3838 should be 38+6=4438 + 6 = 44.

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