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ResourceSpotlight
In this activity, students use formulas to find the differences of the consecutive terms of a sequence, plot a scatter plot, and observe that sequences with common differences (arithmetic sequences) have scatter plots whose points form a straight line. They then use a spreadsheet to write an explicit formula to display the first n terms of a sequence and find the sum of the first n terms of the related series, using a spreadsheet and sigma notation.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will explore infinite geometric series. They will consider the effect of the value for the common ratio and determine whether an infinite geometric series converges or diverges. Students will numerically analyze infinite geometric series using spreadsheets. They will also consider the derivation of the sum of a convergent infinite geometric series and use it to solve several problems.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will explore the link between Pascal's Triangle and the expansion of binomials in the development of the Binomial Theorem.
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Texas Instruments, Inc.
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ResourceSpotlight
Students will explore geometric series. They will consider the effect of the value for the common ratio and first term using sliders. Students will graphically and numerically analyze geometric series using graphs and spreadsheets. They will also consider the derivation of the sum of a finite geometric series and use it to solve several problems while comparing their answer to those found using sigma notation.
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Texas Instruments, Inc.
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ResourceSpotlight
Students will explore a geometric sequence related to an outbreak of the flu, extrapolate to make predictions based on given data, and apply summation notation to determine the sum of any number of terms, n, in a series.
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Texas Instruments, Inc.
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ResourceSpotlight
Students will explore geometric series. They will consider the effect of the value for the common ratio and first term using sliders. Students will graphically and numerically analyze geometric series using graphs and spreadsheets. They will also consider the derivation of the sum of a finite geometric series and use it to solve several problems while comparing their answer to those found using sigma notation.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will explore infinite geometric series. They will consider the effect of the value for the common ratio and determine whether an infinite geometric series converges or diverges. Students will numerically analyze infinite geometric series using spreadsheets. They will also consider the derivation of the sum of a convergent infinite geometric series and use it to solve several problems.
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Texas Instruments, Inc.
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This video includes sample exercises and step-by-step explanations of binomial expansions and the sum of a geometric series for the California Standards Test.
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Khan Academy
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Video lesson on the explicit formula to generate patterns.
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Pearson prentice hall mathematics
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A helpful scientific calculator that runs in your web browser window.
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Holt Online Learning
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