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If (a=20) and (d=-3), what is the third term of the arithmetic progression?यदि (a=20) और (d=-3) है, तो समांतर श्रेढ़ी का तीसरा पद क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 1414
The nth term of an arithmetic progression is \(a_n=a+(n-1)d\). Therefore, \(a_3=20+(3-1)(-3)=20-6=14\). The value 17 is the second term, not the third. Exam tip: when \(d\) is negative, each successive term decreases.समांतर श्रेणी का nवाँ पद \(a_n=a+(n-1)d\) होता है। अतः तीसरा पद \(a_3=20+(3-1)(-3)=20-6=14\) होगा। 17 दूसरा पद है, तीसरा नहीं। परीक्षा टिप: ऋणात्मक \(d\) होने पर प्रत्येक अगला पद घटता है।
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