Sum Of GP = 1/3

To demonstrate an infinite geometric progression using a triangular area model.

Sequences and Series

This triangle is divided into smaller sections representing the terms of a geometric progression: 1/4+1/16+1/64…..The visual model helps students understand how an infinite number of decreasing areas can sum to a finite value—1/3 of the total area.

It reinforces the concept of convergence, fractional decomposition, and visual learning of infinite series.