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If \(a_n=\frac{3n}{2}\), what is the fourth term?
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Answer and explanation
Correct answer: 6
To find the fourth term, substitute \(n=4\): \(a_4=\frac{3\times4}{2}=\frac{12}{2}=6\). Hence, the correct answer is 6. Option 8 would result from not dividing \(3\times4\) by 2. Exam tip: substitute the term number carefully in the formula for the \(n\)th term, then simplify.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
To find the fourth term, substitute \(n=4\): \(a_4=\frac{3\times4}{2}=\frac{12}{2}=6\). Hence, the correct answer is 6. Option 8 would result from not dividing \(3\times4\) by 2. Exam tip: substitute the term number carefully in the formula for the \(n\)th term, then simplify.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: nth term.
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