This week’s topics
Sequences and series: arithmetic, geometric and harmonic progressions
- Sequences and series: arithmetic, geometric and harmonic progressions
- Summation and product notation
What you will be able to do
- 4.1 Describe what is meant by a sequence and a series.
- 4.2 Explain the difference between arithmetic and geometric series and sequences.
- 4.3 Use appropriate notation to represent sequences.
Activity
Start with this week’s 4 videos, then: Seminar, guided reading and a short written task: describe what is meant by a sequence and a series.
Study materials
Videos
- Checking understanding of arithmetic sequences · Oak National Academy, Key Stage 3 (lower secondary level) · for registered students
- Checking and securing understanding of geometric sequences · Oak National Academy, Key Stage 4 (GCSE level) · for registered students
- Introduction to arithmetic sequences | Sequences, series and induction | Precalculus | Khan Academy · YouTube · Khan Academy · 7 min · for registered students
- Sequences and Series (Arithmetic & Geometric) Quick Review · YouTube · Mario's Math Tutoring · 20 min · for registered students
Further resources
- Contemporary Mathematics, 3.10: Arithmetic Sequences · PDF · OpenStax Contemporary Mathematics (2023), 3.10: arithmetic sequences and their nth term, pp. 239–245 · for registered students
- Contemporary Mathematics, 3.11: Geometric Sequences · PDF · OpenStax Contemporary Mathematics (2023), 3.11: geometric sequences and growth, pp. 246–253 · for registered students
- College Algebra 2e, 9.4: Series and Their Notations · PDF · OpenStax College Algebra 2e (2021), 9.4: sums of arithmetic and geometric series, pp. 894–906 · for registered students
Materials marked “for registered students” open in the student portal, which is set up as soon as you receive final acceptance.
