गुणोत्तर श्रेणी में \(a_3=36\) और \(a_7=576\) है। यदि (r) धनात्मक है, तो (r) क्या है?
In a geometric progression \(a_3=36\) and \(a_7=576\). If (r) is positive, what is (r)?
Explanation opens after your attempt
Correct Answer
A. (2)
Concept
\(\frac{a_7}{a_3}=r^4=\frac{576}{36}=16\), so (r=2). In exams, the ratio of distant terms gives a power based on the position gap.
Why this answer is correct
The correct answer is A. (2). \(\frac{a_7}{a_3}=r^4=\frac{576}{36}=16\), so (r=2). In exams, the ratio of distant terms gives a power based on the position gap.
Exam Tip
\(\frac{a_7}{a_3}=r^4=\frac{576}{36}=16\), इसलिए (r=2) है। परीक्षा में दूर के पदों का अनुपात पद-अंतर की घात देता है।
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