Multiple choice

Find the wrong word in the Series. 50,51,47,56,42,65,29

  1. 42

  2. 65

  3. 29

  4. 51

  5. 50
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A Correct answer
Explanation

The series follows an alternating pattern of adding 1, subtracting 4, adding 9, subtracting 14, adding 23, subtracting 36. Alternatively, looking at differences: +1, -4, +9, -14, +23, -36. The sequence of differences is 1^2, -2^2, 3^2, -4^2, 5^2, -6^2. Applying this, 50+1=51, 51-4=47, 47+9=56, 56-16=40 (not 42), 40+25=65, 65-36=29. Thus, 42 is the incorrect term.

AI explanation

The series alternates by adding and subtracting consecutive perfect squares, starting with 50 + 1 = 51, then 51 - 4 = 47, then 47 + 9 = 56. Following this pattern, the next calculation should be 56 - 16 = 40, but the series incorrectly lists 42. The correct number at this position is 40, making 42 the wrong term.

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