गुणोत्तर श्रेढ़ी \(a,ar,ar^2,\ldots\) में \(a_2=8\) और \(a_4=128\) है। \(a_6\) क्या होगा?
In the geometric progression \(a,ar,ar^2,\ldots\), \(a_2=8\) and \(a_4=128\). What will be \(a_6\)?
Explanation opens after your attempt
Correct Answer
C. (2048)
Concept
\(a_4=a_2r^2\), so \(r^2=16\), and for the positive sequence \(a_6=128\cdot16=2048\). The same \(r^2\) applies over the same gap.
Why this answer is correct
The correct answer is C. (2048). \(a_4=a_2r^2\), so \(r^2=16\), and for the positive sequence \(a_6=128\cdot16=2048\). The same \(r^2\) applies over the same gap.
Exam Tip
\(a_4=a_2r^2\), इसलिए \(r^2=16\) और धनात्मक क्रम में \(a_6=128\cdot16=2048\)। समान दूरी पर वही \(r^2\) फिर लगता है।
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