Step 1
In problem one, students will use formulas to find the differences of the consecutive terms of a sequence.
Arithmetic Sequences and Series
Activity Overview
Students use formulas to find the differences of the consecutive terms, plot a scatter plot of each sequence, and determine that sequences with common differences (called arithmetic sequences) have scatter plots whose points form a straight line.
Key Steps
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.
Step 3
In problems two and three, students generate a sequence and then find the sum of the first n terms of a sequence using a formula.