Recurrence Relation Q8C | VTU 4th Semester BE Exam Question

Master linear recurrence relations with an important VTU exam question, explained step-by-step using the characteristic equation method. Perfect for BCS405A students to solve second-order recurrence relations efficiently. ━━━━━━━━━━━━━━━━━━━━━ 📌 Exact Question: ❓ Solve the linear recurrence relation a(n) − 6a(n−1) + 9a(n−2) = 0, for n ≥ 2, given a(0) = 5, a(1) = 12. 📆 Asked in: • June / July 2024 – Question 8(c) • Dec 2025 / Jan 2026 – Question 7(c) 📘 Subject: Discrete Mathematical Structures 📚 Subject Code: BCS405A 📌 Module 4 – The Principle of Inclusion and Exclusion 📝 Topic: Linear Recurrence Relation ━━━━━━━━━━━━━━━━━━━━━ 🎯 Learning Points: • Forming characteristic equation • Solving repeated roots • Writing general solution • Applying initial conditions • Solving VTU exam questions efficiently ━━━━━━━━━━━━━━━━━━━━━ 📚 Watch Next: 1️⃣ Continue This Topic (Another linear recurrence – different roots)    • Solve Recurrence Relation | aₙ₊₂ − 3aₙ₊₁ +...   2️⃣ Related Important Question (Fibonacci-type recurrence)    • Solve Fibonacci Recurrence in 5 Minutes | ...   3️⃣ Full Playlist (Watch in Order)    • BCS405A Module 4  ( The principle of exclu...   ━━━━━━━━━━━━━━━━━━━━━ 📘 Module Playlist (Start to Finish): Inclusion-Exclusion & Recurrence | BCS405A Module 4    • BCS405A Module 4  ( The principle of exclu...   ━━━━━━━━━━━━━━━━━━━━━ 📙 More Practice / Related Topics: 1️⃣ Growth Model Recurrence    • Virus Spreading Pattern | Use Recurrence R...   2️⃣ Teacher Assignment Problem    • Assign 5 Teachers to 5 Classes With Restri...   3️⃣ Rook Polynomial    • Rook Polynomial VTU Exam Question | Full D...   ━━━━━━━━━━━━━━━━━━━━━ 🚀 Next Step: Move to recurrence relations with distinct roots. 📌 Don’t stop here: Practice solving characteristic equations. ━━━━━━━━━━━━━━━━━━━━━ 👉 Follow VTU Maths with Muheeb (Mathematics Tutor) on WhatsApp https://whatsapp.com/channel/0029Vb6c... 👉 Get all VTU Maths updates and video links on Telegram https://t.me/vtumathswithmathematicst... 💎 Support Us: Join our channel and get access to exclusive perks 👇    / @officialmathematicstutor   ━━━━━━━━━━━━━━━━━━━━━ 📙 All BCS405A Playlists: ▶️ Module 1 – Fundamentals of Logic    • BCS405A Module 1 – Fundamentals of Logic |...   ▶️ Module 2 – Properties of Integers    • BCS405A Module 2( Discrete Mathematics )   ▶️ Module 3 – Relations and Functions    • Relations and Functions | BCS405A Module 3...   ▶️ Module 4 – Inclusion-Exclusion & Recurrence    • BCS405A Module 4  ( The principle of exclu...   ▶️ Module 5 – Group Theory    • BCS405A Module 5 (Group Theory)   ━━━━━━━━━━━━━━━━━━━━━ #DiscreteMathematics #BCS405A #RecurrenceRelation #VTUMaths #EngineeringMaths #VTUExam #DiscreteMath