Finding an infinite sum with triangles!

In this video, we find the sum of an infinite series using triangles and a visual approach.

As we explore different ways to solve problems, we start seeing deep connections in math.
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[everybadi]

Mitochondria is the powerhouse of the cell

[tamirerez]

The general formula is:
The sum of
1/n + 1/n2 + 1/n3 + 1/n4...
is 1/(n-1)
When n was 4 (in the triangle example)
The sum was 1/3.
When n was 2 (in the square example)
The sum was 1/1

Solve this:
What is the sum of these infinite fractions:
....3^6/ 1 + 2^6/ 1 + 1/6

The answer is: 1/5

[Program]

It's going to be 1 because the sum of the series is the area of that unit square.
And it's an unit square.