College Algebra

  1. Sequences, Series, and the Binomial Theorem
    1. Sequences
      1. Definition and Notation
        1. Terms of a Sequence
          1. Finite vs. Infinite Sequences
            1. Recursive Formulas
              1. Explicit Formulas
                1. Finding Patterns
                2. Arithmetic Sequences
                  1. Definition and Properties
                    1. Common Difference
                      1. Formula for the nth Term
                        1. Finding Specific Terms
                        2. Arithmetic Series
                          1. Sum Formula for Finite Arithmetic Series
                            1. Applications of Arithmetic Series
                            2. Geometric Sequences
                              1. Definition and Properties
                                1. Common Ratio
                                  1. Formula for the nth Term
                                    1. Finding Specific Terms
                                    2. Geometric Series
                                      1. Sum Formula for Finite Geometric Series
                                        1. Infinite Geometric Series
                                          1. Convergence Conditions
                                            1. Sum of Convergent Series
                                          2. Summation Notation
                                            1. Sigma Notation
                                              1. Index of Summation
                                                1. Evaluating Sums
                                                  1. Properties of Summation
                                                    1. Summation Formulas
                                                    2. The Binomial Theorem
                                                      1. Binomial Coefficients
                                                        1. Definition and Calculation
                                                          1. Pascal's Triangle
                                                            1. Properties of Binomial Coefficients
                                                            2. Binomial Expansion
                                                              1. General Formula
                                                                1. Finding Specific Terms
                                                                2. Factorial Notation
                                                                  1. Definition and Properties
                                                                    1. Calculating Factorials

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                                                                7. Matrices and Determinants

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                                                                1. Foundational Algebraic Concepts