यदि गुणोत्तर श्रेढ़ी \(a,ar,ar^2,\ldots\) में \(a_2+a_3=30\) और (r=2) है, तो \(a_1\) क्या होगा?

If in the geometric progression \(a,ar,ar^2,\ldots\), \(a_2+a_3=30\) and (r=2), what will be \(a_1\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. (5)

Step 1

Concept

\(a_2=2a_1\) and \(a_3=4a_1\), so \(6a_1=30\) and \(a_1=5\). First write the sum using \(a_1\) and (r).

Step 2

Why this answer is correct

The correct answer is B. (5). \(a_2=2a_1\) and \(a_3=4a_1\), so \(6a_1=30\) and \(a_1=5\). First write the sum using \(a_1\) and (r).

Step 3

Exam Tip

\(a_2=2a_1\) और \(a_3=4a_1\), इसलिए \(6a_1=30\) और \(a_1=5\)। योग को पहले \(a_1\) और (r) से लिखें।

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Mathematics Answer, Explanation and Revision Hints

यदि गुणोत्तर श्रेढ़ी \(a,ar,ar^2,\ldots\) में \(a_2+a_3=30\) और (r=2) है, तो \(a_1\) क्या होगा? / If in the geometric progression \(a,ar,ar^2,\ldots\), \(a_2+a_3=30\) and (r=2), what will be \(a_1\)?

Correct Answer: B. (5). Explanation: \(a_2=2a_1\) और \(a_3=4a_1\), इसलिए \(6a_1=30\) और \(a_1=5\)। योग को पहले \(a_1\) और (r) से लिखें। / \(a_2=2a_1\) and \(a_3=4a_1\), so \(6a_1=30\) and \(a_1=5\). First write the sum using \(a_1\) and (r).

Which concept should I revise for this Mathematics MCQ?

\(a_2=2a_1\) and \(a_3=4a_1\), so \(6a_1=30\) and \(a_1=5\). First write the sum using \(a_1\) and (r).

What exam hint can help solve this Mathematics question?

\(a_2=2a_1\) और \(a_3=4a_1\), इसलिए \(6a_1=30\) और \(a_1=5\)। योग को पहले \(a_1\) और (r) से लिखें।