यदि गुणोत्तर श्रेणी \(x,,4x,,16x,\ldots\) में पाँचवाँ पद (1280) है, तो (x) क्या है?

If the fifth term of the geometric progression \(x,,4x,,16x,\ldots\) is (1280), what is (x)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

C. (5)

Step 1

Concept

The fifth term is \(x\cdot4^4=256x=1280\), so (x=5). In exams, put the algebraic first term in \(ar^{n-1}\) too.

Step 2

Why this answer is correct

The correct answer is C. (5). The fifth term is \(x\cdot4^4=256x=1280\), so (x=5). In exams, put the algebraic first term in \(ar^{n-1}\) too.

Step 3

Exam Tip

पाँचवाँ पद \(x\cdot4^4=256x=1280\) है, इसलिए (x=5) है। परीक्षा में बीजीय पहले पद को भी \(ar^{n-1}\) में रखें।

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यदि गुणोत्तर श्रेणी \(x,,4x,,16x,\ldots\) में पाँचवाँ पद (1280) है, तो (x) क्या है? / If the fifth term of the geometric progression \(x,,4x,,16x,\ldots\) is (1280), what is (x)?

Correct Answer: C. (5). Explanation: पाँचवाँ पद \(x\cdot4^4=256x=1280\) है, इसलिए (x=5) है। परीक्षा में बीजीय पहले पद को भी \(ar^{n-1}\) में रखें। / The fifth term is \(x\cdot4^4=256x=1280\), so (x=5). In exams, put the algebraic first term in \(ar^{n-1}\) too.

Which concept should I revise for this Mathematics MCQ?

The fifth term is \(x\cdot4^4=256x=1280\), so (x=5). In exams, put the algebraic first term in \(ar^{n-1}\) too.

What exam hint can help solve this Mathematics question?

पाँचवाँ पद \(x\cdot4^4=256x=1280\) है, इसलिए (x=5) है। परीक्षा में बीजीय पहले पद को भी \(ar^{n-1}\) में रखें।