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## Homework Statement

Calculate the sum of the serie.

## Homework Equations

[tex]\sum^{30}_{i=1} 1/i[/tex]

## The Attempt at a Solution

I broke the problem into parts. I calculated the sum of the geometric series such as:

[tex]\sum^{4}_{i=1} 2^{-i}[/tex]

[tex]\sum^{3}_{i=1} 3^{-i}[/tex]

[tex]\sum^{2}_{i=1} 5^{-i}[/tex]

[tex]\sum^{1}_{i=1} 7^{-i}[/tex]

and so on for each base with a prime number. Then, I need to sum them to other terms. However, it can be very error-some.

The reason to the question is that I sense that there may be an easier way to calculate the sum. What are the ways to calculate harmonic series? Is my way wrong?