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The AP of multiples of (13) greater than (250) is (260,273,286,\ldots). What is its (22)nd term?(250) से बड़े (13) के गुणजों की AP (260,273,286,\ldots) है। इसका (22)वां पद क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 533533
The first term of the AP is \(a=260\), and the common difference is \(d=273-260=13\). The \(n\)th term is \(a_n=a+(n-1)d\). Thus, \(a_{22}=260+(22-1)\times13=260+273=533\). Therefore, 533 is correct. The number 546 is the next, or 23rd, term. Exam tip: use \(n-1\), not \(n\), in the formula for the \(n\)th term.इस AP का प्रथम पद \(a=260\) तथा सार्वांतर \(d=273-260=13\) है। \(n\)वां पद \(a_n=a+(n-1)d\) होता है। अतः \(a_{22}=260+(22-1)\times13=260+273=533\)। इसलिए सही उत्तर 533 है। 546 अगला, अर्थात 23वां पद है। परीक्षा टिप: \(n\)वें पद के सूत्र में \(n\) नहीं, \(n-1\) का प्रयोग करें।
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