Tweaking the Harmonic

Calculus Level 1

It is known that the harmonic series

1+12+13+14+15+ 1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} +\cdots

diverges. What about if we only took every tenth term; does it still diverge?

110+120+130+140+ \frac{1}{10} + \frac{1}{20} + \frac{1}{30} + \frac{1}{40} + \cdots

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