Education Technology

Algebra II: Geometric Sequences & Series
by Texas Instruments

Published on September 19, 2012


Students find common ratios of geometric sequences on a spreadsheet and create scatter plots of the sequences to see how each curve is related to the value of the common ratio and/or the sign of the first term of the sequence.

Key Steps

  • Image

    Students will use the Sequence mode of the graphing calculator to generate the terms of a sequence. They view the table of values to determine any patterns, rate of change, and function that could produce the same table.

  • Image

    Then, students will generate the series or the partial sums of the sequence. They will determine the relationship between the sequence and the series and see if the series converges or diverges.

  • Image

    After investigating the table of values for a sequence and series that converges, students will view the graph of the series to determine what happens as n increases.