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Unusual Induction Inequality Proof (3 of 3: By exhaustion)
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Classroom Contents
Further Proof by Mathematical Induction
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- 1 Induction: Factorial Identity
- 2 Induction: Fibonacci Sequence
- 3 Induction: Inequality Proofs
- 4 Induction: Derivative Proof
- 5 Induction: Geometry Proof (Angle Sum of a Polygon)
- 6 Induction: Diagonals in a Convex Polygon
- 7 Induction Inequality Proof Example 1: Σ(k = 1 to n) 1/k² ≤ 2 - 1/n
- 8 Induction Inequality Proof Example 2: n² ≥ n
- 9 Induction Inequality Proof Example 3: 5^n + 9 less than 6^n
- 10 Induction Inequality Proof Example 4: n! greater than n²
- 11 Induction Inequality Proof Example 5: 2^n ≥ n²
- 12 Induction Inequality Proof Example 6: [2^(2n)]*(n!)^2 ≥ (2n)!
- 13 Induction Geometry Proof: Diagonals in a Convex Polygon
- 14 Induction Inequality Proof Example 7: 4^n ≥ 1+3n
- 15 Induction: Divisibility Proof example 5 (8^n+2(7^n)-1 has a factor of 7)
- 16 Induction: Divisibility Proof example 6 (a^n - b^n is divisible by a - b)
- 17 Mathematical Induction (1 of 3: Outlining categories of induction, start of inequalities question)
- 18 Mathematical Induction (3 of 3: A different approach - rearranging the inequality)
- 19 Mathematical Induction (Harder Inequalities Proof by mathematical induction)
- 20 Mathematics Extension 1 Exam Review (2 of 3: Induction)
- 21 Induction Inequality Proofs (1 of 4: Unusual properties of inequalities)
- 22 Induction Inequality Proofs (2 of 4: Considering one side of the inequality)
- 23 Induction Inequality Proofs (3 of 4: Introducing & transforming the inequality)
- 24 Induction Inequality Proofs (4 of 4: Beginning with the assumption)
- 25 Mathematical Induction - Base case above 1 (1 of 3: Introduction)
- 26 Mathematical Induction - Base case above 1 (2 of 3: Completing the proof)
- 27 Mathematical Induction - Base case above 1 (3 of 3: Additional method)
- 28 Mathematical Induction (increments greater than 1)
- 29 Second Order Recurrence Formula (3 of 3: Proving k+2 case)
- 30 Second Order Recurrence Formula (2 of 3: An unusual test & assumption)
- 31 Second Order Recurrence Formula (1 of 3: Prologue - considering the old course)
- 32 Unusual Induction Inequality Proof (1 of 3: Base case)
- 33 Unusual Induction Inequality Proof (2 of 3: Working from the assumption)
- 34 Unusual Induction Inequality Proof (3 of 3: By exhaustion)
- 35 Recursive Formulas by Induction (2 of 4: Proving an explicit formula)
- 36 Recursive Formulas by Induction (1 of 4: What is a recursive formula?)
- 37 Recursive Formulas by Induction (4 of 4: Example HSC question)
- 38 Recursive Formulas by Induction (3 of 4: Hypothesising an explicit formula)
