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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 1+21+31+41+51+⋯
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 101+201+301+401+⋯
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