गुणोत्तर श्रेणी में \(a_3=45\) और \(a_6=1215\) है, तो \(a_1\) क्या है?

In a geometric progression, \(a_3=45\) and \(a_6=1215\). What is \(a_1\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. (5)

Step 1

Concept

From \(\frac{1215}{45}=27=r^3\), (r=3) and \(a_1=45\div3^2=5\). In exams, find (r) first and then \(a_1\).

Step 2

Why this answer is correct

The correct answer is B. (5). From \(\frac{1215}{45}=27=r^3\), (r=3) and \(a_1=45\div3^2=5\). In exams, find (r) first and then \(a_1\).

Step 3

Exam Tip

\(\frac{1215}{45}=27=r^3\) से (r=3) और \(a_1=45\div3^2=5\) है। परीक्षा में पहले (r) निकालें फिर \(a_1\)।

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Mathematics Answer, Explanation and Revision Hints

गुणोत्तर श्रेणी में \(a_3=45\) और \(a_6=1215\) है, तो \(a_1\) क्या है? / In a geometric progression, \(a_3=45\) and \(a_6=1215\). What is \(a_1\)?

Correct Answer: B. (5). Explanation: \(\frac{1215}{45}=27=r^3\) से (r=3) और \(a_1=45\div3^2=5\) है। परीक्षा में पहले (r) निकालें फिर \(a_1\)। / From \(\frac{1215}{45}=27=r^3\), (r=3) and \(a_1=45\div3^2=5\). In exams, find (r) first and then \(a_1\).

Which concept should I revise for this Mathematics MCQ?

From \(\frac{1215}{45}=27=r^3\), (r=3) and \(a_1=45\div3^2=5\). In exams, find (r) first and then \(a_1\).

What exam hint can help solve this Mathematics question?

\(\frac{1215}{45}=27=r^3\) से (r=3) और \(a_1=45\div3^2=5\) है। परीक्षा में पहले (r) निकालें फिर \(a_1\)।