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What is the (14)th term of the AP (21,28,35,42,\ldots)?समांतर श्रेढ़ी (21,28,35,42,\ldots) का (14)वाँ पद क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(112\)\(112\)
In this AP, the first term is \(a=21\) and the common difference is \(d=28-21=7\). The \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_{14}=21+(14-1)\times7=21+91=112\). Hence, \(112\) is correct. \(119\) is the next, or 15th, term. Exam tip: for the \(n\)th term, add the common difference \(n-1\) times.इस समांतर श्रेढ़ी में प्रथम पद \(a=21\) और सार्वांतर \(d=28-21=7\) है। \(n\)वाँ पद \(a_n=a+(n-1)d\) होता है। अतः \(a_{14}=21+(14-1)\times7=21+91=112\)। इसलिए सही उत्तर \(112\) है। \(119\) अगला, अर्थात 15वाँ पद है। परीक्षा टिप: \(n\)वें पद के लिए \(n-1\) बार सार्वांतर जोड़ते हैं।
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