nth termMediumQuestion 210031
Question
If Sₙ = n² + 3n, then the nth term aₙ (for n ≥ 2) is:
- A2n + 2Correct
- B2n + 3
- C2n + 1
- Dn + 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.
Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.
aₙ = Sₙ − S(n−1) = (n²+3n) − ((n−1)²+3(n−1)) = n²+3n − n²+2n−1−3n+3 = 2n+2.