गुणोत्तर श्रेणी \(216,72,24,8,\ldots\) का सामान्य पद क्या है?
What is the general term of the geometric progression \(216,72,24,8,\ldots\)?
Explanation opens after your attempt
B. (a_n=216\cdot\left\(\frac{1}{3}\right\)^{n-1})
Concept
The first term is (216) and the ratio is \(\frac{1}{3}\), so the correct rule is (216\cdot\left\(\frac{1}{3}\right\)^{n-1}). In exams, write the fractional ratio in a decreasing GP.
Why this answer is correct
The correct answer is B. (a_n=216\cdot\left\(\frac{1}{3}\right\)^{n-1}). The first term is (216) and the ratio is \(\frac{1}{3}\), so the correct rule is (216\cdot\left\(\frac{1}{3}\right\)^{n-1}). In exams, write the fractional ratio in a decreasing GP.
Exam Tip
पहला पद (216) और अनुपात \(\frac{1}{3}\) है, इसलिए सही नियम (216\cdot\left\(\frac{1}{3}\right\)^{n-1}) है। परीक्षा में घटती GP में भिन्न अनुपात लिखें।
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