Contents

PDF Appendix A Parent GuidePDF Lessons A.1.1 to A.1.3: Introduction to SequencesPDF Lessons A.2.1 to A.2.3: Equations for SequencesPDF Lesson A.3.1: Patterns of Growth in Tables and Graphs

PDF Lessons 10.1.1 to 10.1.4: Series

PDF Lessons 10.2.1 & 10.2.2: Geometric SeriesPDF Lessons 10.3.1 & 10.3.2: Pascal’s Triangle

11.1 An Introduction to Sequences and Series11.2 Arithmetic Sequences and Series11.3 Geometric Sequences and Series11.4 Infinite Geometric Series11.5 Recursive Rules for Sequences

Chapter 11 Sequences and Series

Arithmetic sequencesGeometric sequencesComparing Arithmetic/Geometric SequencesArithmetic/Geometric Means w/ SequencesGeneral seriesArithmetic seriesArithmetic sequences and seriesFinite geometric seriesGeometric sequences and seriesInfinite geometric seriesGeneral sequences and series

Write a formula for an arithmetic sequenceWrite a formula for a geometric sequenceClassify formulas and sequencesEvaluate recursive formulas for sequencesWrite a formula for a recursive sequenceIntroduction to sigma notationIdentify arithmetic and geometric seriesFind the sum of an arithmetic seriesIntroduction to partial sumsFind the sum of a finite geometric seriesPartial sums of geometric seriesFind the value of an infinite geometric seriesWrite a repeating decimal as a fractionSequences: mixed review

Sequences as functions https://www.khanacademy.org/e/sequences-as-functions

Given the first few terms in an arithmetic sequence, find the next term in the sequence.

https://www.khanacademy.org/e/arithmetic_sequences_1

Solve problems such as: The first four terms in an arithmetic sequence are 12, 5, -2, and -9. Find an explicit formula for the sequence.

https://www.khanacademy.org/e/explicit-formulas-for-arithmetic-sequences

Given the formula of an arithmetic sequence, either in explicit form or in recursive form, find a specific term in the sequence.

https://www.khanacademy.org/e/arithmetic_sequences_2

Given the first few terms in a geometric sequence, find the next term in the sequence.

https://www.khanacademy.org/e/geometric_sequences_1

Solve problems such as: The first four terms in a geometric sequence are 1/3, 1, 3, and 9. Find an explicit formula for the sequence.

https://www.khanacademy.org/e/sequences-as-functions

Given the formula of a geometric sequence, either in explicit form or in recursive form, find a specific term in the sequence.

https://www.khanacademy.org/e/geometric_sequences_2

Find the next term in a geometric sequence. The problems in this quiz involve relatively difficult calculations.

https://www.khanacademy.org/e/extend-geometric-sequences-negatives-fractions

Find the first few terms of sequences that are defined recursively.

https://www.khanacademy.org/e/evaluating-sequences-in-recursive-form

Find the recursive formula of an arithmetic sequence given the first few terms.

https://www.khanacademy.org/e/recursive-formulas-for-arithmetic-sequences

Given the explicit formula of an arithmetic sequence, find its recursive formula, and vice versa.

https://www.khanacademy.org/e/explicit-and-recursive-formulas-of-arithmetic-sequences

Find the recursive formula of a geometric sequence given the first few terms or given an explicit formula.

https://www.khanacademy.org/e/recursive-formulas-for-geometric-sequences

Evaluate finite geometric series given in sigma notation, recursively, or explicitly.

https://www.khanacademy.org/e/geometric-series--1

Practice writing finite geometric series like 3 + 6 + 12 + 24 in sigma notation.

https://www.khanacademy.org/e/writing-finite-geometric-series-in-sigma-notation

Understanding and solving problems with the formula for a finite geometric series

https://www.khanacademy.org/e/geometric-series

Given a verbal description of a real-world relationship, determine the sequence that models that relationship.

https://www.khanacademy.org/e/recursive_explicit