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Harmonic Number (Starting from an AMC problem) (1)

The -th Harmonic number, denoted is defined by the sum of the reciprocals of the first  natural numbers:     This number has quite interesting properties. On thing we could consider when is finite is the quotient of the sum. If we write it as     Then many problems raise. Here, we have a problem…

January 2024
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 123456
78910111213
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21222324252627
28293031  
  • Harmonic Number (Starting from an AMC problem) (1)

    The -th Harmonic number, denoted is defined by the sum of the reciprocals of the first  natural numbers:     This number has quite interesting properties. On thing we could consider when is finite is the quotient of the sum. If we write it as     Then many problems raise. Here, we have a problem […]

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