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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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Khan Academy

Khan Academy: Converting Recursive and Explicit Forms of Geometric Sequences

For Students 9th - 10th Standards
Given the explicit formula of a geometric sequence, find its recursive formula, and vice versa. 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: Converting Recursive and Explicit Forms of Arithmetic Sequences

For Students 9th - 10th Standards
Given the explicit formula of an arithmetic sequence, find its recursive formula, and vice versa. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
eBook
Math Planet

Math Planet: Geometric Sequences of Numbers

For Students 9th - 10th Standards
Gain an understanding of the geometric sequences of numbers by viewing an example and a video lesson.
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Khan Academy

Khan Academy: Finite Geometric Series Word Problems

For Students 9th - 10th Standards
Here, students can practice solving word problems involving a finite geometric series. They receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Sums of Finite Geometric Series

For Students 10th - 12th Standards
[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.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Limits

For Students 9th - 10th Standards
In this activity, you can see a representation of several geometric series and their limits.
Unit Plan
Cuemath

Cuemath: Sequences

For Students 9th - 10th Standards
A comprehensive guide for learning all about sequences with definitions, the types of sequences, examples of sequences, formulas for sequences, solved examples, and practice questions.
Handout
Purple Math

Purplemath: Sequences and Series: Terminology and Notation

For Students 9th - 10th
Explains the basic terminology and notation of sequences and series, including summation symbols, subscripts, and indices.
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.
Handout
Wolfram Research

Wolfram Math World: Geometric Sequence

For Students 9th - 10th Standards
This MathWorld site, an online training tool, provides a definition and an example of a geometric sequence and how it operates. Other math-related topics available.
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Khan Academy

Khan Academy: Use Arithmetic Sequence Formulas

For Students 9th - 10th Standards
Given the formula of an arithmetic sequence, either in explicit form or in recursive form, find a specific term in the sequence.
Unit Plan
Mangahigh

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

For Students 9th - 10th Standards
Students explore an interactive tutorial on nonlinear sequences and then practice their knowledge by attempting ten questions that increase in difficulty level.
Activity
Texas Instruments

Texas Instruments: Serious Series

For Teachers 9th - 10th Standards
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.
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.
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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University of Vienna (Austria)

University of Vienna: Sequences Convergent or Divergent?

For Students 9th - 10th
Given a set of eight sequence formulae, determine whether each is convergent or divergent. After completing the exercises, the site returns a score to judge understanding of such sequences.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Sequences and Series

For Students 9th - 10th Standards
Hotmath provides 20 practice problems relating to sequences and series. Each of the practice problems include a step-by-step guide for solving.
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Introduction to Arithmetic and Geometric Sequence

For Teachers 9th - 10th Standards
This lesson plan offers an introduction to sequences. Through the use of computers, students are able to see what happens to the sequences when multipliers and add on values are changed.
eBook
Math Planet

Math Planet: Algebra 2: Arithmetic Sequences and Series

For Students 9th - 10th Standards
Provides an explanation, examples, and a video lesson all related to arithmetic sequences and series.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Visual Patterns Grades 10 12

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to find the next term in a sequence.
Website
Howard Hughes Medical Institute

Hhmi: Bio Interactive: Understanding Sequence Assembly

For Students 9th - 10th
A series of lecture clips helps explain how DNA sequencing is done by using the analogy of shredding multiple copies of a book and then reassembling the text by finding overlapping fragments. The ultimate goal of DNA sequencing is to...
Graphic
Virginia Commonwealth University

Don Mikulecky: The Limit of a Sequence

For Students 9th - 10th
A series of slides discussing the mathematical limit of a sequence. The slideshow is straight-forward, providing terminology and examples of how to find sequence limits. The slideshow goes on to discuss series, and more.

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