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What is the (6)th term of the AP (100,90,80,70,\ldots)?समांतर श्रेढ़ी (100,90,80,70,\ldots) का (6)वाँ पद क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(50\)\(50\)
For this AP, the first term is \(a=100\) and the common difference is \(d=90-100=-10\). The nth-term formula is \(a_n=a+(n-1)d\). Hence, \(a_6=100+(6-1)(-10)=100-50=50\). Therefore, \(50\) is correct. \(40\) would be the 7th term. Exam tip: use \(n-1\), not \(n\), in the nth-term formula.इस समांतर श्रेणी में प्रथम पद \(a=100\) और सार्वांतर \(d=90-100=-10\) है। \(n\)वाँ पद \(a_n=a+(n-1)d\) होता है। अतः \(a_6=100+(6-1)(-10)=100-50=50\)। इसलिए सही उत्तर \(50\) है। \(40\) अगला, अर्थात 7वाँ पद होगा। परीक्षा टिप: \(n\)वें पद के सूत्र में \(n-1\) लिखना न भूलें।
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