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Class 10 · Mathematics

Arithmetic progressions

Interactive explanation Gamified quiz, feedback & rewards

0 XP0 mastered
NCERT chapter connection · Learning goals & preparation

By the end, you can…

  • Explain aₙ = a + (n − 1)d
  • Change one input at a time and predict its effect before checking the model.
  • Apply the relationship in a quiz and explain the reasoning behind your answer.

Useful preparation: Basic arithmetic, fractions and reading simple diagrams. Suggested previous stop: Coordinate geometry.

Mathematics · Arithmetic Progressions
NCERT published contents reference. This activity explores part of the chapter; it does not replace the textbook. Open official NCERT reference ↗

Interactive exploration · Class 10

Arithmetic progressions

Class 10
2n = 14n = 26n = 38n = 410n = 5
The relationshipaₙ = a + (n − 1)d
01 · How to explore

Make the idea your own

  1. 1Read the inputs and predict what will change.
  2. 2Change one parameter while keeping the other fixed.
  3. 3Explain the result using the diagram and the live values.
02 · Take it further

Notice the pattern

The sum of n terms is Sₙ = n[2a + (n − 1)d] / 2.