Count Equal Additive Steps from the First Term
An arithmetic sequence adds the same common difference between consecutive terms.
About 25 minutes, plus any extended practice
Open lesson 1Algebra2: Sequences, Sums, and Recursion
A sequence distinguishes an indexed term from the sum of several terms. Arithmetic and geometric structures support different formulas, while a recursive definition determines each next term from previously defined values.
Before you begin
- Use sequence subscripts; evaluate powers; identify common differences and ratios.
Choose by skill rather than age alone. Read with an adult when useful, revisit a lesson, or explore another grade.
Follow the lesson sequence
Add Terms Rather than Report the Last Term
A geometric sum adds several values whose consecutive ratio is fixed.
About 25 minutes, plus any extended practice
Open lesson 2Pair First and Last Terms in an Arithmetic Sum
Terms equally far from opposite ends of an arithmetic sequence have equal pair sums.
About 25 minutes, plus any extended practice
Open lesson 3Apply a Recursive Rule to the Previous Value
A recursive definition names a starting term and an operation producing the next term.
About 25 minutes, plus any extended practice
Open lesson 4Review and transfer
After the lessons, try 4 new review cases and a practical task. Each answer has an explanation and a link back to the related lesson.
Open the unit reviewGuest answers are temporary. Keep your own paper or document; this unit does not certify completion or record a school grade.
Topic references
- OpenStax mathematical topic reference: topic reference — Algebra2: Sequences, Sums, and Recursion
These references informed the topic selection. They do not certify complete standards alignment.