Huygens’ Problem to Leibnitz

Young philosopher Leibnitz went to Huygens for training in mathematics. Huygens’ asked Leibnitz to find the sum of the following infinite series:

Question: 1 + \frac{1}{3} + \frac{1}{6} + \frac{1}{10} + \frac{1}{15}+ \ldots Calculate the sum.

Kindly share your ideas, even partial solutions are welcome.

Nalin Pithwa.

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