गुणोत्तर श्रेणी \(512,256,128,\ldots\) में (4) कौन-सा पद है?
In the geometric progression \(512,256,128,\ldots\), which term is (4)?
Explanation opens after your attempt
Correct Answer
B. आठवाँ पद(8)th term
Concept
From (512\left\(\frac{1}{2}\right\)^{n-1}=4), (\left\(\frac{1}{2}\right\)^{n-1}=\frac{1}{128}), so (n=8). In exams count terms while halving.
Why this answer is correct
The correct answer is B. आठवाँ पद / (8)th term. From (512\left\(\frac{1}{2}\right\)^{n-1}=4), (\left\(\frac{1}{2}\right\)^{n-1}=\frac{1}{128}), so (n=8). In exams count terms while halving.
Exam Tip
(512\left\(\frac{1}{2}\right\)^{n-1}=4) से (\left\(\frac{1}{2}\right\)^{n-1}=\frac{1}{128}) इसलिए (n=8) है। परीक्षा में आधा करते हुए पद गिनें।
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