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In an AP (a_{22}=0) and (a_{58}=-468). What is (a_1)?एक समान्तर श्रेणी में (a_{22}=0) और (a_{58}=-468) है। (a_1) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 273273
For an AP, \(a_{58}-a_{22}=(58-22)d\). Thus, \(-468-0=36d\), so \(d=-13\). Now, from \(a_{22}=a_1+21d\), \(0=a_1+21(-13)\), giving \(a_1=273\). Hence, 273 is the correct option. If 263 were used, the 22nd term would not be 0. Exam tip: First find \(d\) by using the difference between the given term numbers.समान्तर श्रेणी में \(a_{58}-a_{22}=(58-22)d\)। अतः \(-468-0=36d\), इसलिए \(d=-13\)। अब \(a_{22}=a_1+21d\) से \(0=a_1+21(-13)\), अतः \(a_1=273\)। इसलिए सही विकल्प 273 है। 263 लेने पर 22वाँ पद 0 नहीं आएगा। परीक्षा टिप: दो दिए हुए पदों के बीच पद-संख्या का अंतर लेकर पहले \(d\) ज्ञात करें।
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