Multiple choice

In the following number series find the wrong term-(27\,\,\,\,\,\,\,\,39\,\,\,\,\,\,\,\,\,\,75\,\,\,\,\,\,\,\,\,155\,\,\,\,\,\,\,\,\,305\,\,\,\,\,\,\,\,\,\,590)

  1. 39

  2. 75

  3. 155

  4. 590

  5. 305
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D Correct answer
Explanation

Pattern: differences are n³ + n² for n=1,2,3,4,5. 1³+1²=2, but actual diff is 12; 2³+2²=12 (matches), 3³+3²=36 (matches), 4³+4²=80 (matches), 5³+5²=150 (matches). For last term, pattern gives 6³+6²=216+36=252, so term should be 305+252=557. But given term is 590, which is 590-305=285 (wrong).

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