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JEE MAIN 2021
25-07-2021 S2
Question
Let $n \in N$ and $[x]$ denote the greatest integer less than or equal to $x$. If the sum of ( $n+1$ ) terms ${ }^{\mathrm{n}} \mathrm{C}_0, 3 \cdot{ }^{\mathrm{n}} \mathrm{C}_1, 5 \cdot{ }^{\mathrm{n}} \mathrm{C}_2, 7 \cdot{ }^{\mathrm{n}} \mathrm{C}_3, \ldots \ldots$ is equal to $2^{100} \times 101$, then $2\left[\frac{\mathrm{n}-1}{2}\right]$ is equal to $\_\_\_\_$ .
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Question Tags
JEE Main
Mathematics
Medium
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