Harmonic series (mathematics)
Partial sums

Adding the first n {\displaystyle n} terms of the harmonic series produces a partial sum, called a harmonic number and denoted H n {\displaystyle H_{n}}: H n = ∑ k = 1 n 1 k. {\displaystyle H_{n}=\sum _{k=1}^{n}{\frac {1}{k}}.}
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