Visual Proof : 1/4 + 1/16 + 1/64 + 1/256 + ... - Sum of Infinite Series
Sum of Infinite Series, 1/2 + 1/4 + 1/8 + 1/16 + ... : • Visual Proof : 1/2 + 1/4 + 1/8 + 1/16 + .....
In mathematics, the infinite series 1/4 + 1/16 + 1/64 + 1/256 + ··· is an elementary example of a geometric series that converges absolutely. The sum of this series approaches 1/3. In this video, we will prove that the sum of this geometric series is indeed ⅓ using two math visualizations, one by dividing a square and another by dividing a triangle.
It has been demonstrated that visual math improves math performance. We read Science subjects like Maths and Physics to make sense of this universe, which is primarily visual. So what better way to understand these mathematics topics than to get a visual understanding.
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