Answer: Yes, d = 6.
- A Yes, d = 6
- B No, it is not AP
- C Yes, d = 3
- D Yes, d = 5
Correct answer: A. Yes, d = 6
Explanation: Tₙ = Sₙ − Sₙ₋₁ = (3n²+5n) − (3(n−1)²+5(n−1)) = 3(2n−1)+5 = 6n+2. Linear in n → AP. d = T₂−T₁ = 14−8 = 6.
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