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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.
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.
Illustrative Mathematics
Illustrative Mathematics: A sse.b.4: Course of Antibiotics
This task presents a real world application, prescribing a course of antibiotics. In this task, a finite geometric series is utilized. Aligns with A-SSE.B.4.
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.
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 learners derive the formula for the sum of a specific finite geometric series....
Texas Instruments
Texas Instruments: Exploring Infinite Series
In 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.
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.
Khan Academy
Khan Academy: Finite Geometric Series
Practice these multiple-choice problems with finite geometric series.
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.
Illustrative Mathematics
Illustrative Mathematics: A sse.b.4: A Lifetime of Savings
The purpose of this instructional task is to give students an opportunity to construct and find the value of a geometric series in a financial literacy context. Aligns with A-SSE.B.4.
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.
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.