Education Technology

Mathematics lessons for IB® Diploma Programme

Applications and Interpretation | Numbers and Algebra

ArithSeqSeries

Arithmetic Sequences and 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

ArithSeqSeries_step_1

Step 1

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

ArithSeqSeries_step_2

Step 2

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.

8638 Step 3

Step 3

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