JEE Mathematics · Medium

Sequences and Series: nth term MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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nth termMediumQuestion 210031

Question

If Sₙ = n² + 3n, then the nth term aₙ (for n ≥ 2) is:
  1. A
    2n + 2
    Correct
  2. B
    2n + 3
  3. C
    2n + 1
  4. D
    n + 3

Correct answer

2n + 2

Explanation

aₙ = Sₙ − S(n−1) = (n²+3n) − ((n−1)²+3(n−1)) = n²+3n − n²+2n−1−3n+3 = 2n+2.