यदि (a=6) और \(a_7=384\) है तथा (r) धनात्मक है, तो (r) क्या होगा?

If (a=6) and \(a_7=384\), and (r) is positive, what is (r)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. (2)

Step 1

Concept

From \(384=6r^6\), \(r^6=64=2^6\), so (r=2). In exams, use \(r^6\) for the seventh term.

Step 2

Why this answer is correct

The correct answer is A. (2). From \(384=6r^6\), \(r^6=64=2^6\), so (r=2). In exams, use \(r^6\) for the seventh term.

Step 3

Exam Tip

\(384=6r^6\) से \(r^6=64=2^6\), इसलिए (r=2) है। परीक्षा में सातवें पद के लिए \(r^6\) लगाएँ।

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Mathematics Answer, Explanation and Revision Hints

यदि (a=6) और \(a_7=384\) है तथा (r) धनात्मक है, तो (r) क्या होगा? / If (a=6) and \(a_7=384\), and (r) is positive, what is (r)?

Correct Answer: A. (2). Explanation: \(384=6r^6\) से \(r^6=64=2^6\), इसलिए (r=2) है। परीक्षा में सातवें पद के लिए \(r^6\) लगाएँ। / From \(384=6r^6\), \(r^6=64=2^6\), so (r=2). In exams, use \(r^6\) for the seventh term.

Which concept should I revise for this Mathematics MCQ?

From \(384=6r^6\), \(r^6=64=2^6\), so (r=2). In exams, use \(r^6\) for the seventh term.

What exam hint can help solve this Mathematics question?

\(384=6r^6\) से \(r^6=64=2^6\), इसलिए (r=2) है। परीक्षा में सातवें पद के लिए \(r^6\) लगाएँ।