๐๐Happy New Year – 2025 !๐๐
This is the moment to leave 2024 and welcome the new year 2025. Letโs hope that 2025 will add the joys, subtract the sorrows, multiply the happiness and divide the love among your loved ones.
Mathematics may not teach us to add love or subtract hate, but it gives us hope that every problem has a solution.
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Mathematical beauty of the Happy New Year – 2025
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๐2025, itself is a square, 45ยฒ = 2025ย
๐The factors of 2025 are
1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675 and 2025
๐We can write 2025 as
ย 3^4 ร 5^2 = 2025ย
๐It’s a product of two squares, 9ยฒ x 5ยฒ = 2025
๐It is the sum of 3-squares,
ย 40ยฒ+ 20ยฒ+5ยฒ= 2025
๐It’s the sum of cubes, of all the single digits, from 1 to 9,
1ยณ+2ยณ+……9ยณ= 2025.
๐2025 as a sum of squares
2025 = 729 + 1296 = 27^2 + 36^2= 2025
๐Representation of 2025 as power of 2:
2025 = 2^10 + 2^9 + 2^8 + 2^7 + 2^6 + 2^5 + 2^4 – 2^3 + 2^0
๐2025 as a sum of consecutive natural numbers:
ย 2025 = 1012 + 1013
ย 2025 = 674 + 675 + 676
2025 = 403 + 404 + 405 + 406 + 407……….and more……………
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As we celebrate the New Year 2025, we can appreciate these mathematical wonders that connect us to the deeper aspects of mathematics.
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