Multiple choice

Find the wrong term in sequence : 5, 27, 61, 122, 213, 340, 509

  1. 27

  2. 61

  3. 122

  4. 509

  5. 213
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A Correct answer
Explanation

The sequence follows the pattern n^3 - 1, starting from n=2. For n=2, 2^3-1=7; n=3, 3^3-1=26; n=4, 4^3-1=63; n=5, 5^3-1=124; n=6, 6^3-1=215; n=7, 7^3-1=342; n=8, 8^3-1=511. The given sequence 5, 27, 61, 122, 213, 340, 509 does not match this pattern, suggesting a different logic; however, checking differences: 22, 34, 61, 91, 127, 169. The second differences are 12, 27, 30, 36, 42. The term 27 is clearly the outlier in the progression.

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