Why 1+2+4+8+16 Always Equals One Less Than the Next Power of 2
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Why 1+2+4+8+16 Always Equals One Less Than the Next Power of 2
there's this wild pattern hiding in powers of 2 that i didn't fully appreciate until i animated it. when you add up 1 + 2 + 4 + 8 + 16, you get 31. add 32? now it's 63. and it keeps happening. every single time, the sum lands exactly one less than the next power of 2. in this video, we're stacking these numbers as bars so you can actually *see ...
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