एक समान्तर श्रेणी में \(a_5+a_{14}+a_{23}=399\) है। \(a_{14}\) का मान क्या होगा?

In an AP \(a_5+a_{14}+a_{23}=399\). What is the value of \(a_{14}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

C. (133)

Explanation

Simple Explanation

तीनों पद समान दूरी पर हैं इसलिए मध्य पद औसत होगा। \(a_{14}=\frac{399}{3}=133\)। / The three terms are equally spaced, so the middle term is the average. \(a_{14}=\frac{399}{3}=133\).

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Mathematics Answer, Explanation and Revision Hints

एक समान्तर श्रेणी में \(a_5+a_{14}+a_{23}=399\) है। \(a_{14}\) का मान क्या होगा? / In an AP \(a_5+a_{14}+a_{23}=399\). What is the value of \(a_{14}\)?

Correct Answer: C. (133). Explanation: तीनों पद समान दूरी पर हैं इसलिए मध्य पद औसत होगा। \(a_{14}=\frac{399}{3}=133\)। / The three terms are equally spaced, so the middle term is the average. \(a_{14}=\frac{399}{3}=133\).