The next number in the sequence is 43.

Finding the pattern

Look at the differences between consecutive numbers:

  • 16−9=716-9=716−9=7
  • 24−16=824-16=824−16=8
  • 33−24=933-24=933−24=9

These differences themselves form a simple pattern: 7, 8, 9 — they increase by 1 each time.

So the next difference should be 10 , and you add that to the last term:

  • 33+10=4333+10=4333+10=43.

Therefore, the next number in the sequence 9,16,24,33,…9,16,24,33,\dots 9,16,24,33,… is 43.

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