यदि समांतर श्रेणी में \(a_4+a_{12}=112\) है, तो \(a_8\) क्या होगा?

If in an arithmetic progression \(a_4+a_{12}=112\), what is \(a_8\)?

Author: Muft Shiksha Editorial Team Published:
Explanation opens after your attempt
Correct Answer

C. (56)

Step 1

Concept

\(a_8\) is equidistant from \(a_4\) and \(a_{12}\), so \(a_8=\frac{112}{2}=56\). The average of symmetric terms is the middle term.

Step 2

Why this answer is correct

The correct answer is C. (56). \(a_8\) is equidistant from \(a_4\) and \(a_{12}\), so \(a_8=\frac{112}{2}=56\). The average of symmetric terms is the middle term.

Step 3

Exam Tip

\(a_8\), \(a_4\) और \(a_{12}\) से समान दूरी पर है, इसलिए \(a_8=\frac{112}{2}=56\)। सममित पदों का औसत मध्य पद होता है।

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Mathematics Answer, Explanation and Revision Hints

यदि समांतर श्रेणी में \(a_4+a_{12}=112\) है, तो \(a_8\) क्या होगा? / If in an arithmetic progression \(a_4+a_{12}=112\), what is \(a_8\)?

Correct Answer: C. (56). Explanation: \(a_8\), \(a_4\) और \(a_{12}\) से समान दूरी पर है, इसलिए \(a_8=\frac{112}{2}=56\)। सममित पदों का औसत मध्य पद होता है। / \(a_8\) is equidistant from \(a_4\) and \(a_{12}\), so \(a_8=\frac{112}{2}=56\). The average of symmetric terms is the middle term.

Which concept should I revise for this Mathematics MCQ?

\(a_8\) is equidistant from \(a_4\) and \(a_{12}\), so \(a_8=\frac{112}{2}=56\). The average of symmetric terms is the middle term.

What exam hint can help solve this Mathematics question?

\(a_8\), \(a_4\) और \(a_{12}\) से समान दूरी पर है, इसलिए \(a_8=\frac{112}{2}=56\)। सममित पदों का औसत मध्य पद होता है।