यदि (4,x,64) गुणोत्तर श्रेढ़ी के लगातार धनात्मक पद हैं, तो (x) क्या होगा?

If (4,x,64) are consecutive positive terms of a geometric progression, what is (x)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. (16)

Step 1

Concept

\(x^2=4\cdot64=256\), so positive (x=16). The middle term is the geometric mean.

Step 2

Why this answer is correct

The correct answer is A. (16). \(x^2=4\cdot64=256\), so positive (x=16). The middle term is the geometric mean.

Step 3

Exam Tip

\(x^2=4\cdot64=256\), इसलिए धनात्मक (x=16)। मध्य पद ज्यामितीय माध्य होता है।

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Mathematics Answer, Explanation and Revision Hints

यदि (4,x,64) गुणोत्तर श्रेढ़ी के लगातार धनात्मक पद हैं, तो (x) क्या होगा? / If (4,x,64) are consecutive positive terms of a geometric progression, what is (x)?

Correct Answer: A. (16). Explanation: \(x^2=4\cdot64=256\), इसलिए धनात्मक (x=16)। मध्य पद ज्यामितीय माध्य होता है। / \(x^2=4\cdot64=256\), so positive (x=16). The middle term is the geometric mean.

Which concept should I revise for this Mathematics MCQ?

\(x^2=4\cdot64=256\), so positive (x=16). The middle term is the geometric mean.

What exam hint can help solve this Mathematics question?

\(x^2=4\cdot64=256\), इसलिए धनात्मक (x=16)। मध्य पद ज्यामितीय माध्य होता है।