If \(a_n=\frac{n^2+1}{n}\), what will be the value of \(a_5\)?
Answer and explanation
Correct answer: \(\frac{26}{5}\)
Given \(a_n=\frac{n^2+1}{n}\). Substituting \(n=5\), we get \(a_5=\frac{5^2+1}{5}=\frac{25+1}{5}=\frac{26}{5}\). Option B uses only \(\frac{25}{5}\) and misses the \(+1\) in the numerator. Exam tip: substitute the value of \(n\) in every part of the formula before simplifying the numerator and denominator.
Frequently asked questions
What is the correct answer to this question?
\(\frac{26}{5}\)
Why is this the correct answer?
Given \(a_n=\frac{n^2+1}{n}\). Substituting \(n=5\), we get \(a_5=\frac{5^2+1}{5}=\frac{25+1}{5}=\frac{26}{5}\). Option B uses only \(\frac{25}{5}\) and misses the \(+1\) in the numerator. Exam tip: substitute the value of \(n\) in every part of the formula before simplifying the numerator and denominator.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Sequences.
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