JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Sum to 30 terms of the series

\frac{1}{1 \cdot 2 \cdot 3}+\frac{1}{2 \cdot 3 \cdot 4}+\frac{1}{3 \cdot 4 \cdot 5}+\ldots

View answer and explanation

Correct option: B

\frac{495}{1984}

Option B (

\frac{{n}}{{2}} \log \left(\frac{{a^{{n+3}}}}{{b^{{n-1}}}}\right)

) is correct. By using the properties of logarithms and summing the series, we get the result.

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\frac{3}{4}