गुणोत्तर श्रेणी \(2,8,32,\ldots\) का कौन-सा पद (8192) है?
Which term of the geometric progression \(2,8,32,\ldots\) is (8192)?
Explanation opens after your attempt
B. सातवाँ पद(7)th term
Concept
From \(2\cdot4^{n-1}=8192\), \(4^{n-1}=4096=4^6\), so (n=7). In exams, equate powers to find the term number.
Why this answer is correct
The correct answer is B. सातवाँ पद / (7)th term. From \(2\cdot4^{n-1}=8192\), \(4^{n-1}=4096=4^6\), so (n=7). In exams, equate powers to find the term number.
Exam Tip
\(2\cdot4^{n-1}=8192\) से \(4^{n-1}=4096=4^6\), इसलिए (n=7) है। परीक्षा में घात बराबर करके पद संख्या निकालें।
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