myrmepropagandist on Nostr: 1. = 2/3 + 1/3 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + … = 1 1/2 + 1/8 + 1/32 + … ...
1. = 2/3 + 1/3
1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + … = 1
1/2 + 1/8 + 1/32 + … = 2/3
1/4 + 1/16 + 1/64 + … = 1/3
Is there a *very* elementary justification for these?
#math #mathematics
Published at
2023-07-14 15:19:56Event JSON
{
"id": "b80602198140639b1e62c6580a403dab3d4bcd4c16de53336d4619b36ed55e0c",
"pubkey": "c054144d7615820eaa2322e78ba10e111c44219059482b21ba71e51a9729f40b",
"created_at": 1689347996,
"kind": 1,
"tags": [
[
"t",
"math"
],
[
"t",
"mathematics"
],
[
"mostr",
"https://sauropods.win/users/futurebird/statuses/110713110268858635"
]
],
"content": "1. = 2/3 + 1/3\u20291/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + … = 1\u20291/2 + 1/8 + 1/32 + … = 2/3\u2029 1/4 + 1/16 + 1/64 + … = 1/3\u2029Is there a *very* elementary justification for these?\u2028#math #mathematics",
"sig": "582d7515416609a81a6c301bc99c6243cc8b624135f29d00fba4016c17e31acb489a697717309b7ac41f1cfe0559aca1507fc6240cdd4c4ef8e1bc1a6837ca82"
}