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Type the next number in this sequence:\newline11, 33, 77, 1313, 2121, 3131, ___\_\_\_

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Full solution

Q. Type the next number in this sequence:\newline11, 33, 77, 1313, 2121, 3131, ___\_\_\_
  1. Identify Pattern: Identify the pattern in the sequence.\newlineWe notice that the difference between consecutive terms is increasing by 22 each time.\newline11 to 33 is +2+2, 33 to 77 is +4+4, 77 to 1313 is +6+6, 1313 to 3300 is 3311, and 3300 to 3333 is 3344.
  2. Calculate Next Difference: Calculate the next difference to add to the last known term.\newlineThe last increase was by 1010 (from 2121 to 3131), so the next increase should be by 1212.
  3. Add Calculated Difference: Add the calculated difference to the last known term to find the next number in the sequence. 31+12=4331 + 12 = 43

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