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If (u, v, w) are in an arithmetic progression and (u+w=48), what is the value of (v)?यदि (u, v, w) समांतर श्रेणी में हैं और (u+w=48), तो (v) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 2424
For three consecutive terms u, v, w of an arithmetic progression, the middle term is the average of the two outer terms. Thus, 2v = u + w = 48, so v = 24. Option 22 is not correct because it would give 2v = 44. Exam tip: For any three consecutive AP terms, use middle term = (first term + third term)/2.समांतर श्रेणी के लगातार तीन पदों u, v, w में मध्य पद दोनों बाहरी पदों का औसत होता है। अतः 2v = u + w = 48, इसलिए v = 24। 22 सही नहीं है, क्योंकि तब 2v = 44 होता। परीक्षा टिप: AP के तीन लगातार पदों के लिए हमेशा मध्य पद = (पहला पद + तीसरा पद)/2 लिखें।
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