9. Sequences, Induction, and Probability

Use Factorial Notation

Sequences and Summation Notation

Factorials ; Evaluating Expressions With Factorials

Writing a Geometric Series using Sigma / Summation Notation

Recursive Sequences

In Exercises 1–6, write the first four terms of each sequence whose general term is given. a_n = 1/(n - 1)!

Use explicit rules to write sequences recursively

In Exercises 1–6, write the first four terms of each sequence whose general term is given. a_n = 7n - 4

Summation Notation

Writing Terms of a Sequence Given the General Term

Finding Terms in a Sequence Given the General Term

Writing The First Four Terms of a Sequence

In Exercises 10–11, express each sum using summation notation. Use i for the index of summation. 1/3 + 2/4 + 3/5 + ... + 15/17

Create a recursive formula

Arithmetic Sequences: A Formula for the ' n - th ' Term

Sequences, Factorials, and Summation Notation

Factorials - Evaluating Factorials! Basic Info

Writing a Geometric Series using Sigma / Summation Notation, Ex 2

Learn the toughest concepts covered in Algebra with step-by-step video tutorials and practice problems by world-class tutors

College Algebra

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1. Fundamental Concepts of Algebra

2. Equations and Inequalities

3. Functions and Graphs

4. Polynomial and Rational Functions

5. Exponential and Logarithmic Functions

6. Systems of Equations and Inequalities

7. Matrices and Determinants

8. Conic Sections

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Find the Common Difference for an Arithmetic Sequence

Write Terms of an Arithmetic Sequence

Use the Formula for the General Term of an Arithmetic Sequence

Use the Formula for the Sum of the First <i>n</i> Terms of an Arithmetic Sequence

Arithmetic Sequences

Compute Empirical Probability

Compute Theoretical Probability

Find the Probability that an Event will Not Occur

Find the Probability of One Event or a Second Event Occurring

Find the Probability of One Event and a Second Event Occurring

Probability

Evaluate a Binomial Coefficient

Expand a Binomial Raised to a Power

The Binomial Theorem

Use the Fundamental Counting Principle

Distinguish Between Permutation and Combination Problems

Use the Permutations Formula

Counting Principles, Permutations, and Combinations

Find Particular Terms of a Sequence from the General Term

Use Recursion Formulas

Use Summation Notation

Understand the Principle of Mathematical Induction

Prove Statements Using Mathematical Induction

Mathematical Induction

Find the Common Ratio of a Geometric Sequence

Write Terms of a Geometric Sequence

Use the Formula for the General Term of a Geometric Sequence

Use the Formula for the Sum of the First <i>n</i> Terms of a Geometric Sequence

Find the Value of an Annuity

Use the Formula for the Sum of an Infinite Geometric Series

Geometric Sequences and Series

General Chemistry

Jules

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Physics

Patrick

General Biology

Jason

Financial Accounting

Brian

Dive deep into Psychology with videos, practice problems, and more.

Psychology

Microeconomics

The first in a two-course sequence introduces the basic structure and functions of the human body

Anatomy & Physiology

College Algebra covers algebraic topics and skills necessary to succeed in college-level math

Organic Chemistry

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Genetics

Kylia

GOB Chemistry

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Analytical Chemistry

Study topics incliding trogonometric functions, identities and equations, solutions of triangles, complex numbers, and other topics as time permits

Trigonometry

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Precalculus

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Biology

Math

Business

Social Sciences

Michelle Barry Franco

Building Great Presentations

Eric Zackrison, PhD

Critical Thinking And Problem Solving

Sam Bennett

Embracing Times Of Uncertainty

Nicole Tetreault, PhD

Emotional Intelligence Basics

Eugene Choi, PharmD

Enhancing Your Critical Thinking Skills

Jason Richardson, PsyD

Habits To Win Every Day

Alyssa Lowery, PhD

Having Powerful Advanced Conversations

Don Gilman, EdD

How To Influence & Persuade

Amy Matthews

Leadership Skills For Rising Stars

Listening To Lead

Michael Shermer, PhD

Making Decisions Under Uncertainty

Lynne Hurdle

Mistakes To Avoid When Resolving Conflict

Michael Veltri

Overcoming Decision Making Traps

Mike Vardy

Prioritizing Effectively

Secrets Of Effective Prioritization

Strategies To Build Up Your Creativity

Tools For Decision Making

Tutti Taygerly

Unleash And Advance Your Creativity

Winning Collaboration: How To Work More Effectively With Different Personalities

Writing Emails People Want To Read

Critical Thinking

Self Management

Digital Literacy

Collaboration

Communication

Analytical Thinking

Leadership

Flexibility/Adaptability

Innovation

Eric Zackrison

Nicole Tetreault

Dive deep into Python with videos and more.

Introduction to Python

Arianne Dee

Agile Project and Product Management

Agile & Product Management

Mariya Breyther 

Introduction to Microsoft Power BI

Microsoft Power BI

Chris Sorensen

Data Analysis Fundamentals with Excel

Data Analysis - Excel

Chris Sorensen & Ammul Shergill

Getting Started with  and Cryptocurrency

Introduction to Blockchain

George Levy

Learn Enough HTML, CSS and Layout to be Dangerous

HTML, CSS & Layout

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Learn Enough JavaScript to be Dangerous: A Tutorial Introduction to Programming with JavaScript