Harmonic Numbers In Harmony

Algebra Level 2

True or false:

\[{1729}H_{{1728}}-{1728}={1729}H_{{1729}}-{1729}.\]

Notation: \(H_n\) denote the \(n^\text{th}\) harmonic number, \(H_n = 1 + \dfrac12 + \dfrac13 + \cdots + \dfrac1n \).

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