Multiple choice

Find the wrong number in the given series. 5, 27, 61, 122, 213, 340, 509

  1. 27

  2. 61

  3. 122

  4. 509

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A Correct answer
Explanation

The series 5, 27, 61, 122, 213, 340, 509 should follow n³+1: 1³+1=2 (missing), 2³+1=9, 3³+1=28, 4³+1=65, 5³+1=126, 6³+1=217, 7³+1=344, 8³+1=513. Comparing: 5 (wrong), 27 (should be 28), 61 (should be 65), 122 (should be 126), 213 (should be 217), 340 (should be 344), 509 (should be 513). However, 27 is in the position where 28 should be. The series starts with 5 instead of 2, so 27 is the wrong term in the pattern n³+1 starting from n=2.