If \(a_n=\frac{2n+1}{3}\), what is the value of \(a_4\)?
Answer and explanation
Correct answer: 3
Given \(a_n=\frac{2n+1}{3}\). Substituting \(n=4\), we get \(a_4=\frac{2(4)+1}{3}=\frac{9}{3}=3\). The value \(\frac{7}{3}\) would result from using \(n=3\), so it is a close but incorrect option. Exam tip: substitute the required term number carefully for \(n\) before simplifying.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
Given \(a_n=\frac{2n+1}{3}\). Substituting \(n=4\), we get \(a_4=\frac{2(4)+1}{3}=\frac{9}{3}=3\). The value \(\frac{7}{3}\) would result from using \(n=3\), so it is a close but incorrect option. Exam tip: substitute the required term number carefully for \(n\) before simplifying.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Explicit or general rule.
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