If \(a_n=\frac{3n}{2}\), what is the value of \(a_4\)?
Answer and explanation
Correct answer: 6
Given \(a_n=\frac{3n}{2}\). To find the fourth term, substitute \(n=4\): \(a_4=\frac{3\times4}{2}=\frac{12}{2}=6\). Therefore, the correct answer is 6. A value such as 5 may result from substituting an incorrect value of \(n\). Exam tip: to find a particular term, substitute its term number in the general-term formula.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
Given \(a_n=\frac{3n}{2}\). To find the fourth term, substitute \(n=4\): \(a_4=\frac{3\times4}{2}=\frac{12}{2}=6\). Therefore, the correct answer is 6. A value such as 5 may result from substituting an incorrect value of \(n\). Exam tip: to find a particular term, substitute its term number in the general-term formula.
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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