IPMAT Indore 2024 (MCQ) - The terms of a geometric progression are real and positive. If the p-th term of the progression is q and the q-th term is p, then the logarithm of the first term is | PYQs + Solutions

IPMAT Indore 2024

Algebra

Progression & Series

Hard

The terms of a geometric progression are real and positive. If the $p$ -th term of the progression is $q$ and the $q$ -th term is $p$ , then the logarithm of the first term is

\dfrac{(1-q)\log(p)-(1-p)\log(q)}{p-q}

\dfrac{(1-q)\log(q)-(1-p)\log(p)}{p-q}

\dfrac{(1-q)\log(p)+(1-p)\log(q)}{p-q}

\dfrac{(1-q)\log(q)+(1-p)\log(p)}{p-q}

Correct Option: 2