Multiple choice

Find the missing number in the following number series $? 3638 3494 3413 3377 3368$

  1. $3683$
  2. $3863$
  3. $3883$
  4. $3633$

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Reading the series backward: 3368, 3377, 3413, 3494, 3638, ?. Differences: 3377-3368=9, 3413-3377=36, 3494-3413=81, 3638-3494=144. These are squares: 3²=9, 6²=36, 9²=81, 12²=144. The next difference should be 15²=225. So the first term is 3638 + 225 = 3863.

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