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If (a_1=2), (a_2=3), and (a_n=a_{n-1}+a_{n-2}), what is (a_5)?यदि (a_1=2), (a_2=3) और (a_n=a_{n-1}+a_{n-2}) है तो (a_5) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(13\)\(13\)
By the recursive rule, each new term is the sum of the two preceding terms. Thus, \(a_3=2+3=5\), \(a_4=3+5=8\), and \(a_5=5+8=13\). Therefore, the correct answer is \(13\). Note that \(8\) is \(a_4\), not \(a_5\). Exam tip: write each intermediate term in order until you reach the required term.पुनरावर्ती नियम के अनुसार प्रत्येक नया पद उससे पहले के दो पदों का योग है। अतः \(a_3=2+3=5\), \(a_4=3+5=8\), और \(a_5=5+8=13\)। इसलिए सही उत्तर \(13\) है। \(8\), \(a_4\) है, \(a_5\) नहीं। परीक्षा टिप: ऐसे प्रश्नों में आवश्यक पद तक क्रमशः सभी मध्यवर्ती पद लिखें।
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