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Type the next number in this sequence:\newline44, 44, 66, 1010, 1616, _____

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Full solution

Q. Type the next number in this sequence:\newline44, 44, 66, 1010, 1616, _____
  1. Identify Pattern: Identify the pattern in the sequence.\newlineThe sequence starts with 44 and seems to increase by adding a certain number each time.\newlineLet's find the differences between consecutive terms.
  2. Calculate Differences: Calculate the differences between consecutive terms.\newline44 to 44: 4−4=04 - 4 = 0\newline44 to 66: 6−4=26 - 4 = 2\newline66 to 1010: 10−6=410 - 6 = 4\newline1010 to 4400: 4411\newlineThe differences are increasing by 4422 each time.
  3. Predict Next Difference: Predict the next difference in the sequence.\newlineIf the pattern of differences (0,2,4,6)(0, 2, 4, 6) continues, the next difference should be 6+2=86 + 2 = 8.
  4. Find Next Number: Add the predicted difference to the last term to find the next number in the sequence.\newline16+8=2416 + 8 = 24\newlineThe next number in the sequence should be 2424.

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