JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

The value of

{\log _5}\left( {1 + \frac{1}{5}} \right) + {\log _5}\left( {1 + \frac{1}{6}} \right) + {\log _5}\left( {1 + \frac{1}{7}} \right) + \ldots

+ {\log _5}\left( {1 + \frac{1}{{624}}} \right)\;\mathrm{is}

View answer and explanation

Correct option: C

Option C (3) is correct because the logarithmic expression simplifies to

{\log _5}(125)

, which equals 3.

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A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\}

{A} \cup({B} \cap {C})

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{x^2},{b^2},{y^2}

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y=x-2

\sum\limits_{{i=0}}^{2012} a_i

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\log \left(\frac{a}{3 b}\right)

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\frac{3}{4}