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sequence evaluation MCQ Questions for Class 9

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Practice Questions

1 questions tagged with sequence evaluation.

यदि \(a_n=n^2+4n\) है तो \(a_{10}+a_1\) का मान क्या है?

If \(a_n=n^2+4n\), what is the value of \(a_{10}+a_1\)?

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Correct Answer

D. 145

Explanation

Simple Explanation

दिया है, \(a_n=n^2+4n\)। अतः \(a_{10}=10^2+4(10)=100+40=140\) तथा \(a_1=1^2+4(1)=1+4=5\)। इसलिए \(a_{10}+a_1=140+5=145\)। \(140\) केवल \(a_{10}\) है, योग नहीं। परीक्षा टिप: अलग-अलग पदों के लिए पहले \(n\) का मान सूत्र में रखकर प्रत्येक पद निकालें, फिर जोड़ें। / Given \(a_n=n^2+4n\), \(a_{10}=10^2+4(10)=100+40=140\) and \(a_1=1^2+4(1)=1+4=5\). Therefore, \(a_{10}+a_1=140+5=145\). Note that \(140\) is only \(a_{10}\), not the required sum. Exam tip: substitute each value of \(n\) into the formula separately before adding the terms.

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