American Mathematics Competitions 2025 - Questão muito TOP sobre PG infinita

Progressão Geométrica Infinita na olimpiada americana de matemática Enunciado: In the figure below, the outside square contains infinitely many squares, each of them with the same center and sides parallel to the outside square. The ratio of the side length of a square to the side length of the next inner square is k, where 0 smaller than k smaller than 1. The spaces between squares are alternately shaded, as shown in the figure (which is not necessarily drawn to scale). The area of the shaded portion of the figure is 64% of the area of the original square. What is k? Mais conteúdo de matemática: ⚜⚜⚜ DIVERSÃO COMPLETA ⚜⚜⚜ https://www.udemy.com/course/matemati... OUTRAS DIVERSÕES: 🟩 Curso para senai 🟪: https://www.udemy.com/course/matemati... 🟦 Curso para PMSP 🟧: https://www.udemy.com/course/matemati... ⚪MATERIAL GRATUITO🟢 https://1drv.ms/f/c/12bd4b545371a168/... #Matemática #Diversão #AMC #Recreação