Education Technology

# Activities

• ##### Subject Area

• Math: Algebra II: Sequences
• Math: Algebra II: Series

9-12

40 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.2

• ##### Report an Issue

Arithmetic Sequences & Series

#### Activity Overview

Use formulas to find the differences of the consecutive terms, plot a scatter plot of each sequence, and determine the shape of sequences with common differences. Then use a spreadsheet to display the first n terms and find the sum.

#### Key Steps

• Students will use formulas to find the differences of the consecutive terms of a sequence.

• Then, students will plot a scatter plot of each sequence and determine that sequences with common differences, also called arithmetic sequences, have scatter plots that form a straight line.

• Students will find the sum of the first n terms of a sequence using a formula and using sigma notation.