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Find the sum of the first 9 terms of the series $\frac{1^3}{1} + \frac{1^3 + 2^3}{1 + 3} + \frac{1^3 + 2^3 + 3^3}{1 + 3 + 5} + \dots$

 Aug 14, 2021
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Like so (first considering the numerators and denominators separately):

 

 Aug 15, 2021

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