Sum Of GP = 1/2
To represent an infinite geometric series using an area-based square layout.
Sequences and Series
The square is partitioned into decreasing sections of area corresponding to the GP: ⅓ + 1/9 + 1/27…….. This model provides a hands-on, visual understanding of how the total sum of infinitely many parts approaches 1/2.
It helps students internalize the idea of limits, infinite sequences, and how seemingly endless processes can result in a precise, finite value.