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Northwestern University

North Western University: Series [Pdf]

For Students 9th - 10th
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.
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Khan Academy

Khan Academy: Algebra I: Extend Geometric Sequences

For Students 9th - 10th Standards
Given the first few terms in a geometric sequence, find the next term in the sequence. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Khan Academy

Khan Academy: Algebra I: Extend Geometric Sequences: Negatives & Fractions

For Students 9th - 10th
Find the next term in a geometric sequence. The problems in this quiz involve relatively difficult calculations. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Activity
Wolfram Research

Wolfram Math World: Sequences

For Students 9th - 10th Standards
This MathWorld page provides links to various specific types of mathematical sequences and related links. This is a great resource if you are looking for very specific information.
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Khan Academy

Khan Academy: Algebra I: Extend Arithmetic Sequences

For Students 9th - 10th Standards
Given the first few terms in an arithmetic sequence, find the next term in the sequence. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Khan Academy

Khan Academy: Algebra I: Sequences Word Problems

For Students 9th - 10th Standards
Given a verbal description of a real-world relationship, determine the sequence that models that relationship. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Interactive
Shodor Education Foundation

Shodor Interactivate: Sequencer

For Students 9th - 10th Standards
Learn about number patterns in sequences and recursions by specifying a starting number, multiplier, and add-on. The numbers in the sequence are displayed on a graph, and they are also listed below the graph.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Sigma Notation and Series

For Students 9th - 10th
The lesson discusses sigma notation and series. Students learn about strategies to find an expression for a sequence or series. The resource consists of class notes, calculator tips, examples, and practice problems with solutions. The...
Activity
Texas Instruments

Texas Instruments: Exploring Taylor Series

For Teachers 9th - 10th
In this Computer Algebra System (CAS) activity, students explore the Taylor's series. They investigate the approximation of numbers in sequences and series and find their interval of convergence using various methods.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Series

For Students 9th - 10th Standards
Using this tutorial, you'll learn to complete many tasks associated with summation, series, and sequences. Offers definitions and examples of summation notation, series, finite series, and infinite series, as well as several sample...
Handout
Math Open Reference

Math Open Reference: Series

For Students 9th - 10th Standards
A complete reference guide to a series. It provides definitions, examples, and an animation that enhances further explanation. Includes links to related topics.
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Houghton Mifflin Harcourt

Holt, Rinehart and Winston: Homework Help Independent Practice: Arithmetic Sequences

For Students 9th - 10th Standards
Get independent practice working with arithmetic sequences. Each incorrect response gets a text box explanation and another try. Correct responses are confirmed.
Activity
Texas Instruments

Texas Instruments: Sequences

For Teachers 9th - 10th
Students learn how to graph the first n terms of a sequence, how to set the window and how to evaluate the nth term of a sequence. They also explore the Fibonacci sequence and Web plots.
Unit Plan
BBC

Bbc: Higher Bitesize Maths: Sequences: Recurrence Relations

For Students 9th - 10th Standards
A tutorial on recurrence relations focuses on the topic of sequences and works with limits. Several examples are included.
Unit Plan
Mangahigh

Mangahigh: Algebra: Find the Nth Term of a Linear Sequence

For Students 9th - 10th Standards
Students explore an interactive tutorial on linear sequences and then practice their knowledge by attempting ten questions that increase in difficulty level.
Lesson Plan
University of California

Ucmp: Sequencing Time

For Teachers 9th - 10th Standards
Lesson plan in which young scholars place events in sequence, comparing their life to the history of the Earth.
Activity
Texas Instruments

Texas Instruments: Sequences and Series Involving Finance Equations

For Teachers 9th - 10th
Using mortgage formulas, students find mortgage payments, amount borrowed, and principal paid. With annuity formulas, students answer questions about saving for the future. Solutions and verifications are given for all questions.
Handout
Cool Math

Coolmath: What's a Sequence?

For Students 10th - 12th Standards
Explanation and examples of a sequence.
Handout
Cool Math

Coolmath: Sequences With Formulas

For Students 10th - 12th Standards
Explanation and examples of using a formula to determine the nth term in a sequence.
Activity
Cool Math

Coolmath: Geometric Sequences

For Students 6th - 9th Standards
This algebra lesson explains geometric sequences.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Sums of Infinite Geometric Series

For Students 10th - 12th
[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.
eBook
Mathigon

Mathigon: Algebra: Special Sequences

For Students 9th - 10th Standards
In addition to arithmetic and geometric sequences, Fibonacci Numbers, and figurate numbers, there are countless interesting sequences that don't follow a similar, regular pattern. These include prime numbers, perfect numbers, the...
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Khan Academy

Khan Academy: Algebra I: Explicit Formulas for Geometric Sequences

For Students 9th - 10th Standards
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. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video...
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Khan Academy

Khan Academy: Algebra I: Explicit Formulas for Arithmetic Sequences

For Students 9th - 10th Standards
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. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a...

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