Skip to content
PlayOwl

Mathematics · Grade 11

Sequences and Series

Learners write arithmetic and geometric sequences explicitly and recursively, use sigma notation, and prove the arithmetic series formula by pairing and the geometric series formula by multiplying and subtracting. They apply finite geometric series to savings plans and decide when an infinite geometric series has a sum, using it for repeating decimals and a bouncing ball.

  • 4 lessons
  • About 125 minutes
  • Sequences and series check: 11 questions
  • Ways to answer: choose an answer, type a fraction, match pairs, type a number, put in order and sort into groups
See plans Included with Family, Teacher and School plans. Open in PlayOwl

What learners will discover

  • Write explicit and recursive formulas for arithmetic and geometric sequences and use them to find terms.
  • Read and write sigma notation, and derive and apply the formula for an arithmetic series.
  • Derive and apply the formula for a finite geometric series, including savings-plan models.
  • Decide whether an infinite geometric series converges, find its sum when it does, and apply this in context.

Lessons

  1. Arithmetic and geometric sequences 6 steps4 practiceabout 28 min
  2. Sigma notation and arithmetic series 6 steps3 practiceabout 30 min
  3. Finite geometric series 6 steps4 practiceabout 32 min
  4. Infinite geometric series 6 steps4 practiceabout 30 min
  5. Sequences and series check 11 questions at the end

Keep exploring

More 11th grade math

Guide for grown-ups