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Welcome back to Lecture 5 of our series "Number Theory – From Basics to Beautiful Theorems" on PROOF PATTERN! In this video, we put everything we've learned to the test with a comprehensive set of exercises on Well-Ordering Principle, Principle of Finite Induction, and Second Principle of Finite Induction. This hands-on practice session is designed to reinforce your understanding and build problem-solving confidence. We'll work through carefully selected problems that require you to choose the right principle, apply it correctly, and write clear, rigorous proofs. From classical induction problems to tricky well-ordering arguments and strong induction challenges, you'll see a variety of question types with step-by-step solutions. Grab your notebook, try the problems yourself, and then follow along as we solve them together! induction exercises, well-ordering principle problems, PFI practice problems, strong induction exercises, mathematical induction practice, WOP solved examples, induction problem solving, number theory lecture 5, induction proof practice, strong induction practice, well-ordering examples, induction questions solutions, discrete math exercises, proof by induction problems, mathematical induction worksheet, induction tutorial practice, PROOF PATTERN, number theory series, advanced math problems, exam preparation induction #InductionExercises #WellOrderingPrinciple #MathematicalInduction #StrongInduction #Lecture5 #NumberTheory #ProofPattern #PracticeProblems #MathExercises #WOP #PFI #ProblemSolving #MathPractice #InductionProof #DiscreteMath #AdvancedMath #LearnMath #MathTutorial #ExamPrep #ProofTechniques #StepByStepSolutions