A series a₁ + a₂ + a₃ + …in which a₁, a₂, a₃,…is a harmonic sequence. Often the term refers to the particular series $1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\dots$, where the n‐th term a_n equals 1/n. For this series, a_n → 0. However, the series does not have a sum to infinity since, if s_n is the sum of the first n terms, then s_n → ∞. For large values of n, s_n ≈ lnn + γ‎, where γ‎ is Euler’s constant.