JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sum of the series

S=\sum\limits_{{r=1}}^n \log \left(\frac{a^{r+1}}{b^{r-1}}\right)

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Correct option: B

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

Option B (

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

) is correct because it represents the simplified sum of the given logarithmic series.

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