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Class 10 · Mathematics

Geometric progressions

Interactive explanation Gamified quiz, feedback & rewards

0 XP0 mastered
Suggested-level exploration · Learning goals & preparation

By the end, you can…

  • Explain aₙ = a × rⁿ⁻¹
  • 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: Area of a circle.

This topic has a suggested learning level. A matching chapter in the current NCERT edition has not been verified, so it is not labelled as syllabus coverage.

Interactive exploration · Class 10

Geometric progressions

Class 10
Nth term (a = 2)021.543.164.686.115.510Term number nCommon ratio r held at 1.5 · scale adjusts to values
The relationshipaₙ = a × rⁿ⁻¹
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

A ratio of 1 produces a constant sequence.