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Type the missing number in this sequence:\newline11, 22, 55, 1010, _\_, 2626, 3737, 5050

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Q. Type the missing number in this sequence:\newline11, 22, 55, 1010, _\_, 2626, 3737, 5050
  1. Identify pattern: Step 11: Identify the pattern in the sequence.\newlineWe start by looking at the differences between consecutive terms:\newline21=12 - 1 = 1\newline52=35 - 2 = 3\newline105=510 - 5 = 5\newlineThe differences are increasing by 22 each time. So, the next difference should be 77.\newline10+7=1710 + 7 = 17
  2. Calculate next term: Step 22: Check if the pattern continues correctly with the next terms.\newline17+(2617)=2617 + (26 - 17) = 26, which is correct.\newline26+(3726)=3726 + (37 - 26) = 37, which is correct.\newline37+(5037)=5037 + (50 - 37) = 50, which is correct.\newlineThe pattern holds, so the missing number is 1717.

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