Sarkari RiseLogin
NDA 2026 · PYQ · Arithmetic Progression · easy

The sum of the first n terms of an AP is 3n² + 5n. If the mᵗʰ term of the AP is 68, then what is the value of m?

  1. A.9
  2. B.10
  3. C.11✓ Correct
  4. D.12

Explanation

The mᵗʰ term = Sₘ − Sₘ₋₁ = (3m² + 5m) − (3(m−1)² + 5(m−1)) = 3m² + 5m − 3m² + 6m − 3 − 5m + 5 = 6m + 2. Setting 6m + 2 = 68 gives 6m = 66, so m = 11.
💡 Practice unlimited NDA PYQs + AI-tracked progress on each topic. Sign up free →

More Arithmetic Progression questions

Want more NDA practice?

Free daily 10-Q quiz · adaptive mocks · 4,000+ verified PYQs · AI doubt solver in Hindi + English

Sign up freeMore Arithmetic Progression practice