यदि गुणोत्तर श्रेढ़ी में \(a_1=3\) और \(a_3=75\) है, तो धनात्मक (r) क्या होगा?
If a geometric progression has \(a_1=3\) and \(a_3=75\), what is the positive (r)?
Explanation opens after your attempt
Correct Answer
C. (5)
Concept
\(a_3=a_1r^2\), so \(75=3r^2\) and \(r^2=25\), hence positive (r=5). When positive ratio is asked take the positive root.
Why this answer is correct
The correct answer is C. (5). \(a_3=a_1r^2\), so \(75=3r^2\) and \(r^2=25\), hence positive (r=5). When positive ratio is asked take the positive root.
Exam Tip
\(a_3=a_1r^2\), इसलिए \(75=3r^2\) और \(r^2=25\), अतः धनात्मक (r=5)। धनात्मक अनुपात मांगने पर धनात्मक मूल लें।
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