यदि किसी समांतर श्रेणी में \(a_5+a_{13}=86\) है, तो \(a_9\) का मान क्या होगा?

If in an arithmetic progression \(a_5+a_{13}=86\), what is the value of \(a_9\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

C. (43)

Step 1

Concept

\(a_9\) is equidistant from \(a_5\) and \(a_{13}\), so \(a_9=\frac{86}{2}=43\). The average of symmetric terms is the middle term.

Step 2

Why this answer is correct

The correct answer is C. (43). \(a_9\) is equidistant from \(a_5\) and \(a_{13}\), so \(a_9=\frac{86}{2}=43\). The average of symmetric terms is the middle term.

Step 3

Exam Tip

\(a_5\) और \(a_{13}\) से \(a_9\) समान दूरी पर है, इसलिए \(a_9=\frac{86}{2}=43\)। सममित पदों का औसत मध्य पद होता है।

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Mathematics Answer, Explanation and Revision Hints

यदि किसी समांतर श्रेणी में \(a_5+a_{13}=86\) है, तो \(a_9\) का मान क्या होगा? / If in an arithmetic progression \(a_5+a_{13}=86\), what is the value of \(a_9\)?

Correct Answer: C. (43). Explanation: \(a_5\) और \(a_{13}\) से \(a_9\) समान दूरी पर है, इसलिए \(a_9=\frac{86}{2}=43\)। सममित पदों का औसत मध्य पद होता है। / \(a_9\) is equidistant from \(a_5\) and \(a_{13}\), so \(a_9=\frac{86}{2}=43\). The average of symmetric terms is the middle term.

Which concept should I revise for this Mathematics MCQ?

\(a_9\) is equidistant from \(a_5\) and \(a_{13}\), so \(a_9=\frac{86}{2}=43\). The average of symmetric terms is the middle term.

What exam hint can help solve this Mathematics question?

\(a_5\) और \(a_{13}\) से \(a_9\) समान दूरी पर है, इसलिए \(a_9=\frac{86}{2}=43\)। सममित पदों का औसत मध्य पद होता है।