Find the wrong term in the given series 2,27,130,350,738 ?

2025

Find the wrong term in the given series

2,27,130,350,738 ?

  1. A.

    130

  2. B.

    27

  3. C.

    2

  4. D.

    350

Attempted by 1 students.

Show answer & explanation

Correct answer: B

Concept: In a ‘find the wrong term’ series question, every term is generated by one fixed rule. Here each term equals n3 + n, built from consecutive odd numbers n = 1, 3, 5, 7, 9. The term that breaks this rule while every other term fits it is the wrong term.

Applying the rule to each term:

  1. For n = 1: 13 + 1 = 1 + 1 = 2 — matches the 1st given term (2).

  2. For n = 3: 33 + 3 = 27 + 3 = 30 — the 2nd given term is 27, which does not match 30.

  3. For n = 5: 53 + 5 = 125 + 5 = 130 — matches the 3rd given term (130).

  4. For n = 7: 73 + 7 = 343 + 7 = 350 — matches the 4th given term (350).

  5. For n = 9: 93 + 9 = 729 + 9 = 738 — matches the 5th given term (738).

Cross-check: four of the five terms (2, 130, 350, 738) fit the n3 + n rule exactly; the second term alone breaks it, confirming that mismatched value as the wrong term in the series.

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