Arithmetic Progressions
Class 10 · Mathematics
3 ideas in Class 10 Mathematics, explained in plain words, with games and quizzes to practise.
Arithmetic Progression Patterns
Part of: Arithmetic Progression Patterns
An arithmetic progression has a fixed difference between consecutive terms. The common difference may be positive, negative or zero.
Why it matters. APs describe regular change and let you find a distant term or total without listing every value.
Try it in two minutes
- Find the first term and common difference.
- Count the steps or terms carefully.
- Substitute into the term or sum formula.
Try at home. Track a repeated weekly saving that increases by the same amount and identify its first term and step.
The nth Term of an AP
Part of: The nth Term of an AP
For first term a and common difference d, the nth term is a + (n − 1)d. The term number must be a positive integer.
Why it matters. APs describe regular change and let you find a distant term or total without listing every value.
Try it in two minutes
- Find the first term and common difference.
- Count the steps or terms carefully.
- Substitute into the term or sum formula.
Try at home. Track a repeated weekly saving that increases by the same amount and identify its first term and step.
Sums of AP Terms
Part of: Sums of AP Terms
The sum of the first n terms can be found using n/2 times the sum of the first and last terms, or the equivalent formula using a and d.
Why it matters. APs describe regular change and let you find a distant term or total without listing every value.
Try it in two minutes
- Find the first term and common difference.
- Count the steps or terms carefully.
- Substitute into the term or sum formula.
Try at home. Track a repeated weekly saving that increases by the same amount and identify its first term and step.
What your child will practise
- Arithmetic Progression Patterns: Jungle Quick Fire (Quick Fire)
- Arithmetic Progression Patterns: Number Sort (Sort It Out)
- Arithmetic Progression Patterns: Space Puzzle (Clue Puzzle)
- Sums of AP Terms: Candy Quick Fire (Quick Fire)
- The nth Term of an AP: Mission Control Quest (Collect the Answer)
- Quiz: Arithmetic Progression Patterns (8 questions)
- Quiz: Sums of AP Terms (8 questions)
- Quiz: The nth Term of an AP (8 questions)