Courses
Teacher-curated, self-paced courses. Looking for a guided sequence through a full topic? See Learning Paths.
4 courses
Sequences, Series and Arithmetic Progressions
Mathematics · High School (11–12) · Sequences and Series
FreeCh 5 · 1/3
Sequences given by a formula or a rule, series and sigma notation, then arithmetic progressions in depth: the nth term, the sum, properties, and the arithmetic mean.
3Lessons11Problems2Python Labs1Question Set1Mock Test
Geometric Progressions and the AM-GM Inequality
Mathematics · High School (11–12) · Sequences and Series
FreeCh 5 · 2/3
Geometric progressions: the nth term, the sum of n terms and the sum to infinity, the geometric mean, and the relation between the arithmetic and geometric means.
3Lessons12Problems2Python Labs1Question Set1Mock Test
Summing Series: Advanced Techniques
Mathematics · High School (11–12) · Sequences and Series
StandardFirst lesson freeExtra course
The series that JEE, A-Level Further Maths and IB Higher Level ask most: sums of n, n squared and n cubed, arithmetico-geometric series, telescoping sums and the method of differences, with a full timed paper.
3Lessons11Problems2Python Labs1Question Set1Mock Test
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Patterns and the nth Term
Mathematics · High School (9–10), General · Sequences and Series
FreeCh 5 · 1/2
Spot an arithmetic progression, find its common difference, and write a formula for its nth term. Then use it to find any term, or to find which term has a given value.
3Lessons10Problems2Python Labs1Question Set1Mock Test
The Sum of an Arithmetic Progression
Mathematics · High School (9–10), General · Sequences and Series
FreeCh 5 · 2/2
Add the first n terms of an arithmetic progression with a formula, the way young Gauss did, and use it for savings, seats, steps and stacks.
3Lessons11Problems2Python Labs1Question Set1Mock Test