Mathematics: Proofs by induction
Mathematics from high school to university
★★★★★ 5.0
(69 reviews)
2 hours of content
What you'll learn
- How should we conduct inductive proofs and when should we employ them?
- Prove (by induction) the validity of several formulas for natural numbers.
- Prove (by induction) some statements concerning natural number divisibility.
- Prove (by induction) explicit formulas for recursively specified sequences.
- Prove some simple inequalities for natural numbers (by induction).
- Also, learn about more complex examples of inductive proofs.
- Be given a brief explanation of how to utilise the symbols Sigma and Pi to calculate sums and products.
Explains mathematical induction, when to use it, and how to structure inductive proofs. Learners prove formulas, divisibility statements, inequalities, and explicit formulas for recursively defined sequences. After completing, they can construct rigorous induction proofs for natural number statements.
Who this course is for
Ideal for high school and university students who need to learn or strengthen proof by induction skills.
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#proofs
#induction
#natural-numbers
#sequences
#divisibility