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If \(a_n=2\cdot3^{n-1}\), what will be the value of \(a_4+a_6\)?यदि \(a_n=2\cdot3^{n-1}\) है, तो \(a_4+a_6\) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 540540
Given \(a_n=2\cdot3^{n-1}\), \(a_4=2\cdot3^3=54\) and \(a_6=2\cdot3^5=486\). Hence, \(a_4+a_6=54+486=540\). Option 486 is only the value of \(a_6\), not the sum of both terms. Exam tip: substitute the term number carefully into the exponent \(n-1\).दिया है \(a_n=2\cdot3^{n-1}\)। अतः \(a_4=2\cdot3^3=54\) और \(a_6=2\cdot3^5=486\)। इसलिए \(a_4+a_6=54+486=540\)। विकल्प 486 केवल \(a_6\) का मान है, दोनों पदों का योग नहीं। परीक्षा टिप: पद संख्या को घात \(n-1\) में सावधानी से रखें।
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