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⬛️⬛️⬛️⬛️⬜️⬛️⠀⠀❕⠀⠀⬜️⬜️⬜️
⬛️⬛️⬛️⬜️⬜️⬛️⠀⠀❕⠀⠀⠀⠀⠀⠀⬜️⬜️
⬛️⠀⠀⬛️⬛️⬜️⬛️⠀⠀❕⠀⠀⠀⠀⠀⠀⠀⠀⬜️
⠀⠀⠀⠀⬛️⬛️⬛️⠀⠀⠀⠀❕
⠀⠀⠀⠀⬛️⬛️⬛️⬛️⬛️⬛️ ❕𝘏𝘢𝘱𝘱𝘺 𝘩𝘢𝘭𝘭𝘰𝘸𝘦𝘦𝘯 ❕
⠀⠀⠀⠀⬛️⬛️⬛️⬛️⬛️❕
⠀⠀⠀⠀⬛️⬛️⬛️⠀⠀⬛️❕
⠀⠀⬛️⬛️⬛️⬛️⬛️⠀⠀❕
⠀⠀⬛️⬛️⬛️⬛️⬛️⠀⠀❕
⬛️⬛️⬛️⬛️⬛️⬛️⬛️❕
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💜 Have a beautiful day 💜
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🟪🟪🟪🟪🟪🟪🟥🟥🟪🟪🟪🟪🟪🟪
🟪🟪🟪🟪🟪🟪🟥🟥🟥🟪🟪🟪🟪🟪
🟪🟪🟪🟪🟪⬜⬜⬜⬜🟪🟪🟪🟪🟪
🟪🟪🟪🟪⬜⬛⬜🟨🟨⬛🟪🟪🟪🟪
🟪🟪🟪🟪⬜⬜⬜🟥🟥⬜🟪🟪🟪🟪
🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪
🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪
🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪
🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪
🟪🟪🟫🟨🟨🟨🟨🟨🟨🟨🟨🟫🟪🟪
🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪
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🟦🟦🟦🟩🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦🟦
🟦🟦🟩🟩🟩⬜⬜⬜⬜⬜🟩🟦🟦🟦🟦
🟥🟩🟩🟩⬜⬜⬛⬜⬛⬜⬜🟦🟦🟦🟦
🟦🟦🟦🟦⬜⬜⬜🟧⬜⬜⬜🟦🟫🟦🟦
🟦🟦🟫🟦⬜⬜⬜⬜⬜⬜⬜🟦🟫🟫🟦
🟦🟫🟫🟦🟩🟥🟩🟥🟩🟥🟦🟦🟫🟦🟦
🟦🟦🟫🟦🟩🟥🟩🟥🟩🟥🟦🟫🟫🟦🟦
🟦🟦🟫🟫🟥🟥⬜⬜⬜⬜⬜🟫🟦🟦🟦
🟦🟦🟦⬜🟩🟩⬜⬛⬜⬜⬜⬜🟦🟦🟦
🟦🟦🟦⬜🟥🟥⬜⬜⬜⬜⬜⬜🟦🟦🟦
🟦🟦🟦⬜⬜⬜⬜⬛⬜⬜⬜⬜🟦🟦🟦
🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦🟦
🟦🟦🟦🟦🟦⬜⬜⬜⬜⬜🟦🟦🟦🟦🟦
🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦
🟪🟪🟪🟪🟪🟪🟥🟥🟪🟪🟪🟪🟪🟪
🟪🟪🟪🟪🟪🟪🟥🟥🟥🟪🟪🟪🟪🟪
🟪🟪🟪🟪🟪⬜⬜⬜⬜🟪🟪🟪🟪🟪
🟪🟪🟪🟪⬜⬛⬜🟨🟨⬛🟪🟪🟪🟪
🟪🟪🟪🟪⬜⬜⬜🟥🟥⬜🟪🟪🟪🟪
🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪
🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪
🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪
🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪
🟪🟪🟫🟨🟨🟨🟨🟨🟨🟨🟨🟫🟪🟪
🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪
🎃──────▄▄───▐█─█▐███▐███▐███▐█─█🎃🎃🎃🎃
🎃──▄▄▄█▄▄▄──▐█▄█▐█▄█▐█▄█▐█▄█▐█▄█🎃🎃🎃🎃
🎃▄█▀█████▀█▄▐█─█▐█─█▐█──▐█──▄▄██🎃🎃🎃🎃
🎃█───███───█ 🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃
🎃████▀─▀████▐─█▐██▐─▐─▐██ ▀█▐▐▐▀▐▀▐█▐🎃🎃
🎃█▄▀▀▀▀▀▀▀▄█▐▀█▐▄█▐─▐─▐─█ ─█▐▐▐▀▐▀▐▐█🎃🎃
🎃─▀█▄▄▄▄▄█▀─▐─█▐─█▐▄▐▄▐▄█ ─███▐▄▐▄▐─█🎃🎃
🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃
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n(n+1)/2
Prove:
1 + 2 + 3 + ... + n = n(n+1)/2
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🟪🟪🟪🟪🟪🟪🟥🟥🟪🟪🟪🟪🟪🟪
🟪🟪🟪🟪🟪🟪🟥🟥🟥🟪🟪🟪🟪🟪
🟪🟪🟪🟪🟪⬜⬜⬜⬜🟪🟪🟪🟪🟪
🟪🟪🟪🟪⬜⬛⬜🟨🟨⬛🟪🟪🟪🟪
🟪🟪🟪🟪⬜⬜⬜🟥🟥⬜🟪🟪🟪🟪
🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪
🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪
🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪
🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪
🟪🟪🟫🟨🟨🟨🟨🟨🟨🟨🟨🟫🟪🟪
🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪
⬛⬛⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛⬛
⬛⬛⬛⬜⬜⬛⬛⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬛⬛⬜⬜⬛⬜⬜⬛
⬛⬜⬜⬜⬜⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜⬜⬜⬛⬜⬜⬛⬜⬜⬛
⬛⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛⬛
⬛⬛⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜⬛⬛⬜⬜⬛⬛⬛⬜⬜⬛⬛⬛⬛
⬛⬛⬛⬜⬜⬛⬛⬛⬜⬜⬛⬜⬜⬛⬜⬜⬜⬜⬛⬜⬜⬛⬛⬛⬛
⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛
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