Question 88
Let $$r_k = \frac{\int_0^1 (1-x^7)^k dx}{\int_0^1 (1-x^7)^{k+1} dx}$$, $$k \in \mathbb{N}$$. Then the value of $$\sum_{k=1}^{10} \frac{1}{7(r_k - 1)}$$ is equal to ________
Correct Answer: 65
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