Arithmetic Sequence & Series
Arithmetic Sequence
Arithmetic Sequence
An arithmetic sequence is an ordered list of numbers that increases / decreases by a fixed difference across each successive term. We call this difference, the Common Difference.
An arithmetic sequence is an ordered list of numbers that increases / decreases by a fixed difference across each successive term. We call this difference, the Common Difference.
The nth term in this sequence = [First Term] + (n - 1) × [Common Difference]
The nth term in this sequence = [First Term] + (n - 1) × [Common Difference]
Explore!
Explore!
Use the applet below to explore the sum of an arithmetic progression.
Use the applet below to explore the sum of an arithmetic progression.
The general formula for the sum of an A.P = [# of terms] × ([1st Term] + [Last Term]) ÷ 2
The general formula for the sum of an A.P = [# of terms] × ([1st Term] + [Last Term]) ÷ 2