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Type the next number in this sequence:\newline11, 11, 33, 77, 1313, 2121, _\_

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Full solution

Q. Type the next number in this sequence:\newline11, 11, 33, 77, 1313, 2121, _\_
  1. Identify Pattern: Identify the pattern in the sequence.\newlineLooking at the differences between the terms: 1−1=01-1=0, 3−1=23-1=2, 7−3=47-3=4, 13−7=613-7=6, 21−13=821-13=8. It seems that the difference between consecutive terms increases 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 21−13=821-13=8, then 8+2=108+2=10.
  3. Calculate Next Number: Calculate the next number in the sequence.\newlineAdd the predicted difference to the last known number in the sequence: 21+10=3121+10=31.

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