Mathematics · 2024
JEE Main · 6 April 2024, Shift 1 · Q25
Let r_k=(∫_0^1(1-x^7)^k d x)/(∫_0^1(1-x^7)^k+1 d x), k ∈ N. Then the value of Σ_k=1^10 1/(7(r_k-1)) is equal to
Let $\displaystyle r_k=\frac{\int_0^1\left(1-x^7\right)^k d x}{\int_0^1\left(1-x^7\right)^{k+1} d x}, k \in \mathbb{N}$. Then the value of $\displaystyle \sum_{k=1}^{10} \frac{1}{7\left(r_k-1\right)}$ is equal to
Official answer
From NTA’s final answer key for this paper.
65
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.