Visual Proof : 1 + 1/2 + 1/4 + 1/8 +... - Sum of Infinite Series || intuitive math

1+1/2 + 1/4 + 1/8 + 1/16 +1/32 ··· is an elementary example of a geometric series that converges absolutely. The sum of this series is two. In this video, we will prove visually and mathematically without any words that this series's sum is indeed 2.

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Discussed topic:
visualize math concepts
visualize math
series convergence
infinite series convergence and divergence
math visualization python

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[johnnyonto]

But when it became 1/2S and you just erased the 1 youre assuming it was 2 since the beginning, it just makes no sense. For example, i can assume S=3 so when i divide by 2 i take out 1+1/2, then S-S/2 = 1 + 1/2 +0 (...), so S/2 = 1, 5 amd so S=3

[nallappanbhavitran]

But infinite sum is ridiculous with proper rearrangement we can equal this to any number 😇

[승수노-ze]

A 1/2+1/4+1/8+1/16...?
B 1/2+3/4+7/8+15/16+31/32+63/64
127/128...=?

[nasha]

its infinitely getting closer to 2 but never reaches it