Richland Community College
Richland Community College: Arithmetic Sequences
This is a lesson from Richland Community College on arithmetic sequences. This site provides theories and examples for working with different problems of arithmetic sequences such as calculating the Sum and Difference of an arithmetic...
Purple Math
Purplemath: Sequences and Series: Terminology and Notation
Explains the basic terminology and notation of sequences and series, including summation symbols, subscripts, and indices.
CK-12 Foundation
Ck 12: Analysis: Sums of Infinite Geometric Series
[Free Registration/Login may be required to access all resource tools.] This lesson covers identifying infinite geometric series for which a sum can be determined, and finding the sum.
Better Lesson
Better Lesson: Geometric Sequences and Series
Students will be able to make use of structure on their way to deriving a formula for the sum of a geometric series. They will also gain more experience in finding the nth term of a sequence/series. Includes short video. [1:15]
CK-12 Foundation
Ck 12: Analysis: Sums of Finite Geometric Series
[Free Registration/Login may be required to access all resource tools.] Calculating the sums of finite geometric series
CK-12 Foundation
Ck 12: Analysis: Sums of Finite Geometric Series
[Free Registration/Login may be required to access all resource tools.] This lesson covers finding the sum of a geometric series using the formula and the calculator.
PBS
Pbs: Gauss Arithmetic Sequence Strategy
Learn how mathematician Karl Friedrich Gauss figured out how to sum up any arithmetic sequence without having to add up each and every term. This video focuses on using your critical thinking to follow along as Gauss determines his...
Mathigon
Mathigon: Algebra: Sequences: Pascal's Triangle
This lesson focuses on Pascal's Triangle, a number pyramid in which every cell is the sum of the two cells directly above. It contains all binomial coefficients, as well as many other number sequences and patterns.
Khan Academy
Khan Academy: Sums of Consecutive Integers
Practice finding the nth number in a sequence of consecutive numbers based on the sum. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Math Open Reference
Math Open Reference: Sequences
Learn about sequences with this handy reference guide. Provides a detailed definition, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Math Notes and Math Tests
Pre Calculus Note: Arithmetic Sequences and Partial Sums [Pdf]
The tutorial discusses sequences and series. Students learn about arithmetic sequences, geometric sequences, partial sums, and infinite geometric series. The resource consists of class notes and examples with solutions.
Texas Instruments
Texas Instruments: Serious Series
Students learn about geometric and telescoping series and the relationship between the sequence of partial sums of a series and its sum. They then use the CAS of their TI-89 and calculus to determine the sum of these series.
Illustrative Mathematics
Illustrative Mathematics: A Sse.4: You Tube Explosion
This task, commentary, and solutions, were authored by Lacey Dixon and Jonathan Utegaard of The University of Arizona. The purpose of this task is to have students derive the formula for the sum of a specific finite geometric series....
Texas Instruments
Texas Instruments: Exploring Infinite Series
For this activity, students learn to identify geometric series. They determine if a sequence converges and also learn to calculate the sum of numbers in a geometric series.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Progresiones
This interactive unit introduces the concepts of arithmetic and geometric progression. It shows how to obtain the terms of a progression, its general term and the sum of the terms.
CK-12 Foundation
Ck 12: Analysis: Explicit Formulas
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to write the nth term and how to use it to find terms in the sequence. Students examine guided notes, review guided practice and attempt...
Northwestern University
North Western University: Series [Pdf]
The definition of a series is provided in a PDF document. The document also details the geometric, telescoping and harmonic series, tests for divergence, and series rules.
Other
Dans Math: Lessons: Calculus (Part 1)
College professor Dan Bach reviews the basic calculus concepts of limits and derivatives. The site includes examples and animated graphs.
Math Slice
Math Slice: Number Sense Math Drills
A group of topics that include counting with pictures to 20, sums to 100, finding the missing number in a sequence, multiplication, expanded and standard form, and basic computation practice with addition, subtraction, multiplication, or...
Calculator Soup
Calculator Soup: Triangle Theorems Calculator
Each calculation option has sub-bullets that list the sequence of methods used in this calculator to solve for unknown angle and side values including Sum of Angles in a Triangle, Law of Sines, and Law of Cosines.
Mathematics Archives
Math Archives: Summations
University of Tennessee provides this tutorial site explaining summations and how to evaluate them on a TI(85-86) calculator.
Mathigon
Mathigon: Algebra: Fibonacci Numbers
This lesson focuses on Fibonacci numbers, a pattern based on the sum of the two previous numbers. It offers examples and practice exercises using some form of Fibonacci numbers.
Wolfram Research
Wolfram Math World: Power Series
This site gives many different summation formulas and their expansions. Very Comprehensive site
Illustrative Mathematics
Illustrative Mathematics: A sse.b.4: Cantor Set
This tasks requires students to explore properties of the Cantor Set, which has many uncountable points, no intervals of real numbers, and has length of zero. Aligns with A-SSE.B.4.