Zaymiey

📐 Mathematics  ·  Sequences and Series  ·  JEE

If the sum of n terms of a series is Sₙ = 3n² + 2n, its 10th term is:

Answer: 59.

  • A 57
  • B 58
  • C 59
  • D 61

Correct answer: C. 59

Explanation: aₙ = Sₙ − Sₙ₋₁ = 6n − 1. So a₁₀ = 60 − 1 = 59.

Each bar grows by the common difference d=3a1=2a2=5a3=8a4=11d=3

Bar heights for AP 2, 5, 8, 11 with the common difference d=3 marked between consecutive terms.

Concept context

Arithmetic progressions, geometric progressions, and sums

Read the full Sequences and Series notes →