Arithmetic Sequences and Series

Start with the common difference

The flashcards titled Arithmetic Sequences and Series introduce the common difference and ask how to find a term in a sequence. Start here if you want a set of prompts to work through. You can then open the mind map on arithmetic sequences that connects the common difference with recursive formulas.

As you study, compare the prompts with the map. Try explaining how a term relates to the terms before it, then return to the resources to check your explanation.

Move on to terms and sums

The Arithmetic Progression mind map defines a progression using a fixed number added to each preceding term. The Arithmetic Sequences mind map also covers the common difference and an explicit formula for finding a term.

For a worked example of a general term, look at the Sequences and series mind map. The Arithmetic Progressions flashcards bring together formulas for terms and sums. After those, the Arithmetic Sequence slides show a proof of a sum formula, using the sequence written in forward and reverse order.

Combine a quiz with a map

Once you have studied a map, try the Arithmetic Sequences quiz. Use the quiz alongside the map: return to the relevant definitions or formulas as you work, and use the flashcards for another way to review them. Teachers can also explore the maps and flashcards when selecting material for students to practice with.

Explore the unit

Arithmetic Sequences and Series is a section of the Sequences and Series unit in Mathematics. The resources on this page connect terms and common differences with formulas for sums, so you can follow those ideas across the listed formats. Try a map, then choose a quiz or flashcard deck to continue studying.