JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

The coefficient of

{n^{ - r}}

in the expansion of

{\log _{10}}\left( {\frac{n}{{n - 1}}} \right),

View answer and explanation

Correct option: A

\frac{1}{{r{{\log }_e}10}}

Option A is correct because the coefficient of

{n^{-r}}

is found by expanding the logarithm and identifying the term associated with

{n^{-r}}

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