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Type the next number in this sequence:\newline55, 66, 99, 1414, 2121, 3030, 4141, _\_

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Full solution

Q. Type the next number in this sequence:\newline55, 66, 99, 1414, 2121, 3030, 4141, _\_
  1. Identify Pattern: Identify the pattern in the sequence.\newlineLook at the differences between consecutive terms to see if there is a pattern.\newline6−5=16 - 5 = 1\newline9−6=39 - 6 = 3\newline14−9=514 - 9 = 5\newline21−14=721 - 14 = 7\newline30−21=930 - 21 = 9\newline41−30=1141 - 30 = 11\newlineIt seems that the difference between consecutive terms is increasing by 22 each time.
  2. Predict Next Difference: Predict the next difference in the sequence.\newlineIf the pattern of increasing by 22 continues, the next difference should be 11+2=1311 + 2 = 13.
  3. Calculate Next Number: Calculate the next number in the sequence. Add the predicted difference to the last known number in the sequence. 41+13=5441 + 13 = 54

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