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What is the (16)th term of the AP (6,17,28,39,\ldots)?एपी (6,17,28,39,\ldots) का (16)वाँ पद क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 171171
The first term of the AP is 6 and the common difference is \(17-6=11\). Using \(a_n=a+(n-1)d\), \(a_{16}=6+(16-1)\times11=6+165=171\). Hence, 171 is correct. A value such as 169 would result from using an incorrect common difference or term count. Exam tip: for the \(n\)th term, add \(n-1\) common differences, not \(n\).एपी का प्रथम पद 6 है और सार्वांतर 17−6=11 है। सूत्र \(a_n=a+(n-1)d\) से \(a_{16}=6+(16-1)\times11=6+165=171\) होगा। इसलिए सही उत्तर 171 है। 169 तब मिलता यदि गणना में सार्वांतर या पदों की संख्या गलत ली जाए। परीक्षा टिप: \(n\)वाँ पद निकालते समय \(n-1\) अंतर जोड़ते हैं, \(n\) नहीं।
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