गुणोत्तर श्रेणी \(100,50,25,\frac{25}{2},\ldots\) का सामान्य पद क्या है?
What is the general term of the geometric progression \(100,50,25,\frac{25}{2},\ldots\)?
Explanation opens after your attempt
B. \(a_n=100\cdot\left(\frac{1}{2}\right)^{n-1}\)
Concept
The first term is (100) and the ratio is \(\frac{1}{2}\), so the correct rule is \(100\cdot\left(\frac{1}{2}\right)^{n-1}\). In exams, write the fractional ratio in a decreasing GP.
Why this answer is correct
The correct answer is B. \(a_n=100\cdot\left(\frac{1}{2}\right)^{n-1}\). The first term is (100) and the ratio is \(\frac{1}{2}\), so the correct rule is \(100\cdot\left(\frac{1}{2}\right)^{n-1}\). In exams, write the fractional ratio in a decreasing GP.
Exam Tip
पहला पद (100) और अनुपात \(\frac{1}{2}\) है, इसलिए सही नियम \(100\cdot\left(\frac{1}{2}\right)^{n-1}\) है। परीक्षा में घटती GP में भिन्न अनुपात लिखें।
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