7: Sequences, Series, and Mathematical Induction Last updated Save as PDF Page ID225 Contributed by CK12CK12 7.1: Formulas and Notation for Sequences and Series7.1.1: Recursive Formulas7.1.2: Explicit Formulas7.1.3: Sum Notation and Properties of Sigma7.2: Series Sums7.2.1: Partial Sums7.2.2: Series Sums and Gauss' Formula7.2.3: Problem Solving with Series Sums7.3: Mathematical Induction7.3.1: Inductive Reasoning from Patterns7.3.2: Inductive Proofs7.3.3: Induction and Factors7.3.4: Induction and Inequalities7.4: Sums of Geometric Series7.4.1: Sums of Finite Geometric Series7.4.2: Sums of Infinite Geometric Series7.5: Factorials and Combinations7.5.1: Binomial Theorem and Expansions7.6: Arithmetic Sequences7.6.1: Finding the nth Term Given the Common Difference and a Term7.6.2: Finding the nth Term Given Two Terms for an Arithmetic Sequence7.7: Geometric Sequences7.7.1: Finding the nth Term Given the Common Ratio and the First Term7.7.2: Finding the nth Term Given Two Terms for a Geometric Sequence7.8: Sums of Arithmetic Series7.8.1: Sums of Finite Arithmetic Series