BCS405A Mathematical Induction Problem #9 - Full Working & Explanation

Learn Mathematical Induction with an important VTU strong induction problem involving representation of integers, explained step-by-step. Perfect for BCS405A students to understand advanced induction techniques and score high in exams. ━━━━━━━━━━━━━━━━━━━━━ 📌 Exact Question: ❓ By the principle of mathematical induction, prove that every integer n ≥ 24 can be written as a sum of 5’s and/or 7’s. 📆 Asked in: Model Question Paper 2 – Question 3(b) 📘 Subject: Discrete Mathematical Structures 📚 Subject Code: BCS405A 📌 Module 2 – Properties of the Integers 📝 Topic: Mathematical Induction (Strong Induction) ━━━━━━━━━━━━━━━━━━━━━ 🎯 Learning Points: • Principle of strong induction • Representation of integers • Understanding linear combinations • Step-by-step inductive reasoning • Solving VTU exam questions efficiently ━━━━━━━━━━━━━━━━━━━━━ 📚 Watch Next: 1️⃣ Next Video (Advanced Induction Identity)    • Algebraic Manipulation in Induction Proofs...   2️⃣ Continue Learning    • Prove a(n) ≤ 3^n Using Induction | VTU Exa...   3️⃣ More Practice    • Complete Guide: Binomial & Multinomial The...   ━━━━━━━━━━━━━━━━━━━━━ 📘 Module Playlist (Start to Finish): BCS405A Module 2 – Discrete Mathematics    • BCS405A Module 2( Discrete Mathematics )   ━━━━━━━━━━━━━━━━━━━━━ 📙 More Practice / Related Topics: 1️⃣ Divisibility Proof    • BCS405A Mathematical Induction Problem #8 ...   2️⃣ Inequality Problems    • BCS405A Mathematical Induction Problem #6 ...   3️⃣ Factorial Inequality    • BCS405A Mathematical Induction Problem #5 ...   ━━━━━━━━━━━━━━━━━━━━━ 🚀 Next Step: Move to advanced induction identities and recursive relations. 📌 Don’t stop here: Practice more strong induction problems to master this concept. ━━━━━━━━━━━━━━━━━━━━━ 👉 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 (Model Papers)    • BCS405A Module 1 – Fundamentals of Logic |...   ▶️ Module 1 – Full Concepts    • BCS405A Module 1 ( Fundamentals of Logic )   ▶️ Module 2 – Mathematical Induction    • BCS405A Module 2( Discrete Mathematics )   ▶️ Module 3 – Relations and Functions    • Relations and Functions | BCS405A Module 3...   ▶️ Module 4 – Recurrence & Inclusion-Exclusion    • BCS405A Module 4  ( The principle of exclu...   ▶️ Module 5 – Group Theory    • BCS405A Module 5 (Group Theory)   ━━━━━━━━━━━━━━━━━━━━━ #DiscreteMathematics #BCS405A #MathematicalInduction #StrongInduction #VTUMaths #EngineeringMaths #VTUExam