01:36

(6.1.13) How Do You Compute Intersection, Union, and Set Differences for Sets A and B?

05:29

(6.1.9) How Do You Prove or Disprove Subset Relationships Between Sets B and D?

03:01

(6.1.5) How Do You Rewrite Set Membership Without Using Union, Intersection, or Set Minus?

09:31

(6.1.1) How Do You Determine Subset Relationships Between Sets A and B?

09:03

(5.8.17) How Do You Find an Explicit Formula for the Recurrence C_n = C_{n-1} + C_{n-2}?

03:22

(5.8.13) How Do You Find an Explicit Formula for the Recurrence R_k = 2R_{k-1} - 2R_{k-2}?

05:27

(5.8.9) Solving Recurrence Relations with Initial Conditions Using Characteristic Equations

04:01

(5.8.5) Proving a Recursive Relationship for a Sequence Defined by an Explicit Formula

04:41

(5.8.1) Identifying Second-Order Linear Homogeneous Recurrence Relations with Constant Coefficients

07:14

(5.7.53) Raising a Matrix to the nth Power: Fibonacci Numbers and Mathematical Induction

14:35

(5.7.49) Proving the Explicit Formula for a Recursively Defined Sequence Using Strong Induction

16:35

(5.7.45) Proving an Explicit Formula for a Recursively Defined Sequence Using Strong Induction

03:45

(5.7.41) Verifying the Explicit Formula for the Recursive Sequence Using Mathematical Induction

03:34

(5.7.37) Mathematical Induction Verification of Recurrence Relation for Sequence S_n

04:14

(5.7.33) Proving the Formula for a Recursive Sequence Using Mathematical Induction

03:38

(5.7.29) Verifying Recursive Formula Using Mathematical Induction

01:53

(5.7.25) Understanding the Growth of a Computer Algorithm through Geometric Sequences

04:06

(5.7.21) Proving a Recursive Sequence's Formula Using Mathematical Induction

04:02

(5.7.17) Solving a Recurrence Relation Using Iteration to Derive an Explicit Formula

04:09

(5.7.13) Deriving an Explicit Formula for a Recursively Defined Sequence

05:51

(5.7.9) Finding an Explicit Formula for a Recursively Defined Sequence Using Iteration

05:03

(5.7.5) Finding an Explicit Formula for a Recursively Defined Sequence Using Iteration

04:34

(5.7.1) Proving the Formula for the Sum of Consecutive Integers and Its Applications

03:19

(5.6.45) Proving Any Sum of Even Integers is Even Using Mathematical Induction

08:50

(5.6.41) Proving the Generalized Distributive Law Using Mathematical Induction

03:25

(5.6.37) Understanding Compound Interest: Recurrence Relations and APY Calculation

05:44

(5.6.33) Verifying the Fibonacci Sequence's Explicit Formula and Recurrence Relation

02:00

(5.6.29) Proving the Fibonacci Identity F_k+1^2 - F_k^2 = F_k-1 * F_k+2

03:43

(5.6.25) Verifying the Explicit Formula of the Fibonacci Sequence Satisfies the Recurrence Relation

04:03

(5.6.13) Proving a Recursive Relation for the Sequence Defined by T_n = 2 + n

02:15

(5.6.9) Proving the Recurrence Relation of a Sequence Using an Explicit Formula

01:34

(5.6.5) Finding the First Four Terms of a Recursively Defined Sequence

02:10

(5.6.1) Finding the First Four Terms of Recursively Defined Sequences

02:52

(5.5.5) Proving a Predicate Holds True After Exiting a While Loop

05:25

(5.5.1) Proving Predicate Preservation in While Loops Through Iteration Analysis

05:06

(5.4.33) Proving Ordinary Mathematical Induction Using Strong Mathematical Induction

15:14

(5.4.29) Proving Integer Bounds on Rational Numbers Using Well-Ordering Principle & Archimedean Prop

11:41

(5.4.25) Flawed Mathematical Induction Proof That All Powers of Nonzero Real Numbers Equal 1

18:28

(5.4.21) Strong Induction Proof of Recursive Sequence Using Floor and Ceiling Functions

07:57

(5.4.17) Units Digit Pattern in Powers of 4 - Proving a Conjecture w/ Strong Mathematical Induction

17:50

(5.4.13) Proving Fundamental Theorem of Arithmetic Using Strong Mathematical Induction

14:58

(5.4.9) Strong Mathematical Induction: Proving an Upper Bound on the Lucas Sequence

20:14

(5.4.5) Inductive Proof Technique for a Recursive Sequence Formula

12:37

(5.4.1) Proving All Terms in a Recursive Sequence are Odd with Strong Induction

04:55

(5.3.45) Identifying Mistakes in Mathematical Induction Proofs

08:00

(5.3.41) Proving a Unique Messaging Pattern in a Group of People

05:12

(5.3.37) Proving a Sum on a Circular Disc with Integers 1-30

01:06

(5.3.33) Solving the 4x6 Checkerboard Puzzle with L-shaped Traminos

06:10

(5.4.29) Proving Even Number of Bs in Strings Using Mathematical Induction

04:21

(5.3.25) Proving Sequence Growth Exceeds 4n with Mathematical Induction

05:12

(5.3.21) Mathematical Induction Proof: Comparing Square Root of n and a Sum Series

03:52

(5.3.17) Proving an Inequality Using Mathematical Induction: A Step-by-Step Guide

05:04

(5.3.13) Proving Divisibility by x-y for Powers of x and y Using Mathematical Induction

06:26

(5.3.9) Proving Divisibility by 6 for Powers of 7 Using Mathematical Induction

02:00

(5.3.5) How to Prove Inequalities with Mathematical Induction for Positive Integers

06:04

(5.3.1) Mathematical Induction: Proving Money Compositions with 3¢ and 8¢ Coins

02:29

(5.1.13) Exploring Sequences: Finding Explicit Formulas for Fractional Patterns

05:27

(5.2.40) Proving Divisibility of a Sum of Squares by a Prime Number (BONUS)

01:31

(5.2.37) Identifying and Correcting Errors in Inductive Proof Fragments

03:53

(5.2.33) Deriving a Closed-Form Formula for an Arithmetic Series