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Lesson Packs · Grade 12 · Mathematics

Arithmetic and Geometric Sequences and Series

Students find the nth term and the sum of arithmetic and geometric sequences, read and evaluate sums in sigma notation, and decide when an infinite geometric series converges and find its sum to infinity.

Unit 9 · Lesson 26 · Sequences, Series and Proof

Preview

Arithmetic and Geometric Sequences and Series — Slide 1
  • Arithmetic and Geometric Sequences and Series — Slide 4
    Slide 4
  • Arithmetic and Geometric Sequences and Series — Slide 10
    Slide 10
  • Arithmetic and Geometric Sequences and Series — Slide 17
    Slide 17
  • Arithmetic and Geometric Sequences and Series — Slide 18
    Slide 18
  • Arithmetic and Geometric Sequences and Series — Worksheet, page 1
    Worksheet, page 1
  • Arithmetic and Geometric Sequences and Series — Answer key, page 1
    Answer key, page 1

Learning objectives

  • Find the nth term and the sum of the first n terms of arithmetic and geometric sequences.
  • Write and evaluate finite sums in sigma notation.
  • Decide whether an infinite geometric series converges and find its sum to infinity.

What's inside

  • 40 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 11 worksheet questions (32 marks) with step-by-step solutions
  • Printable worksheet (3 pages) and a teacher answer key
  • Fully editable in PowerPoint, Google Slides, Keynote and Word

More lessons in this unit

Questions teachers ask

Can I edit the files?

Yes. The PowerPoint and the Word worksheet are fully editable, so you can change examples, add questions or adapt the design for your class.

How do I use the worksheet slides?

After the teaching slides, each worksheet question appears on its own slide. Let students try it first, then show the next slide and work through the solution together.

Is there an answer key?

Yes. The Word file ends with a teacher answer key that has the answer and a worked solution for every question. It is also included as a separate PDF.

Which languages are available?

Every Lesson Pack is made in 18 languages: English, Simplified Chinese, Hindi, Spanish, Arabic, French, Bengali, Portuguese, Indonesian, Urdu, Vietnamese, Albanian, Italian, German, Turkish, Malay, Greek and Traditional Chinese (Hong Kong).

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