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Sequences and Series question

2024 · 9 Apr · Shift 2 · Q60

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JEE Main
Mathematics
Sequences and Series
2024 · 9 Apr · Shift 2 · Q60

Sequences and Series question

2024 · 9 Apr · Shift 2 · Q60

JEE MainMathematicsSequences and SeriesNumerical+4 / −1

If

\left(\frac{1}{\alpha+1}+\frac{1}{\alpha+2}+\ldots . .+\frac{1}{\alpha+1012}\right)-\left(\frac{1}{2 \cdot 1}+\frac{1}{4 \cdot 3}+\frac{1}{6 \cdot 5}+\ldots \ldots+\frac{1}{2024 \cdot 2023}\right)=\frac{1}{2024}

, then

\alpha

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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