Multiple choice

Find out the missing number in the following number series? $7, 16, 41, 90, 171, (?)$

  1. $292$
  2. $290$
  3. $384$
  4. $380$

  5. None of these
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A Correct answer
Explanation

The pattern involves adding successive squares of odd numbers: 7 + 3² (9) = 16, 16 + 5² (25) = 41, 41 + 7² (49) = 90, 90 + 9² (81) = 171. The next step: 171 + 11² (121) = 292. The odd numbers squared are consecutive: 3, 5, 7, 9, 11. Option A (292) matches this pattern. Option B (290) is close but incorrect. Options C and D are significantly off.

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