Algebra & Equations
Harmonic Partial Sum
Sum of reciprocals 1 + 1∕2 + … + 1∕n.
Formula
Formula
Hn = Σ 1k
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| n | number of terms | integer (ℤ) | — | input |
| Hₙ | harmonic number | computed result | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenn = 10
Result2.928968254
Example 2
Givenn = 100
Result5.187377518