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Introduction to Mathematical Induction

Induction: Series & Algebraic Identities (1 of 4)

Induction: Series & Algebraic Identities (2 of 4)

Induction: Series & Algebraic Identities (3 of 4)

Induction: Series & Algebraic Identities (4 of 4)

Induction: Divisibility Proofs (1 of 2)

Induction: Divisibility Proofs (2 of 2)

Induction: Fibonacci Sequence

Induction: Factorial Identity

Induction: Divisibility Proof example 1 (n³ + 3n² + 2n is divisible by 6)

Induction: Inequality Proofs

Induction: Derivative Proof

Induction: Geometry Proof (Angle Sum of a Polygon)

Induction: Diagonals in a Convex Polygon

Induction Inequality Proof Example 1: Σ(k = 1 to n) 1/k² ≤ 2 – 1/n

Induction Inequality Proof Example 2: n² ≥ n

Induction Inequality Proof Example 3: 5^n + 9 less than 6^n

Induction Inequality Proof Example 4: n! greater than n²

Induction Inequality Proof Example 5: 2^n ≥ n²

Induction Inequality Proof Example 6: [2^(2n)]*(n!)^2 ≥ (2n)!

Proof: What is it, and how does it work?

Four varieties of mathematical proof, illustrated

Induction Inequality Proof Example 7: 4^n ≥ 1+3n

Induction: Divisibility Proof example 3 (4^n – 1 is divisible by 3)

Induction: Divisibility Proof example 4 (x^n – 1 is divisible by x-1)

Induction Geometry Proof: Diagonals in a Convex Polygon

**Introduction to Mathematical Induction **

**Induction: Series & Algebraic Identities (1 of 4) **

**Induction: Series & Algebraic Identities (2 of 4) **

**Induction: Series & Algebraic Identities (3 of 4) **

**Induction: Series & Algebraic Identities (4 of 4) **

**Induction: Divisibility Proofs (1 of 2) **

**Induction: Divisibility Proofs (2 of 2) **

**Induction: Divisibility Proof example 1 (n³ + 3n² + 2n is divisible by 6) **

**Induction: Geometry Proof (Angle Sum of a Polygon) **

**Induction: Diagonals in a Convex Polygon **

**Induction Inequality Proof Example 1: Σ(k = 1 to n) 1/k² ≤ 2 – 1/n **

**Induction Inequality Proof Example 2: n² ≥ n **

**Induction Inequality Proof Example 3: 5^n + 9 less than 6^n **

**Induction Inequality Proof Example 4: n! greater than n² **

**Induction Inequality Proof Example 5: 2^n ≥ n² **

**Induction Inequality Proof Example 6: [2^(2n)]*(n!)^2 ≥ (2n)! **

**Proof: What is it, and how does it work? **

**Four varieties of mathematical proof, illustrated **

**Induction Inequality Proof Example 7: 4^n ≥ 1+3n **

**Induction: Divisibility Proof example 3 (4^n – 1 is divisible by 3) **

**Induction: Divisibility Proof example 4 (x^n – 1 is divisible by x-1) **

**Induction Geometry Proof: Diagonals in a Convex Polygon **

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