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Type the next number in this sequence:\newline22, 33, 66, 1111, 1818, ____\_\_\_\_

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Full solution

Q. Type the next number in this sequence:\newline22, 33, 66, 1111, 1818, ____\_\_\_\_
  1. Identify Pattern: Identify the pattern in the sequence.\newlineWe notice that the difference between consecutive terms is increasing by one each time.\newline22 to 33 is an increase of 11.\newline33 to 66 is an increase of 33.\newline66 to 1111 is an increase of 55.\newline1111 to 3300 is an increase of 3311.
  2. Predict Next Difference: Predict the next difference in the sequence.\newlineSince the differences are increasing by 22 each time (11, 33, 55, 77), the next difference should be 7+2=97 + 2 = 9.
  3. Add Predicted Difference: Add the predicted difference to the last known term in the sequence to find the next term.18+9=2718 + 9 = 27
  4. Verify Pattern: Verify the pattern with the new term.\newlineThe sequence with the new term is 2,3,6,11,18,272, 3, 6, 11, 18, 27.\newlineThe differences between the terms are now 1,3,5,7,91, 3, 5, 7, 9, which confirms our pattern.

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