If \(a_n=\frac{3n+7}{2}\), what is the value of \(a_{11}\)?
Answer and explanation
Correct answer: 20
Substituting \(n=11\) gives \(a_{11}=\frac{3(11)+7}{2}=\frac{33+7}{2}=\frac{40}{2}=20\). Hence, the correct answer is 20. Although 21 is a close distractor, it does not result from the correct calculation. Exam tip: After substituting the value of \(n\), simplify the numerator first and then divide by 2.
Frequently asked questions
What is the correct answer to this question?
20
Why is this the correct answer?
Substituting \(n=11\) gives \(a_{11}=\frac{3(11)+7}{2}=\frac{33+7}{2}=\frac{40}{2}=20\). Hence, the correct answer is 20. Although 21 is a close distractor, it does not result from the correct calculation. Exam tip: After substituting the value of \(n\), simplify the numerator first and then divide by 2.
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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