If (a_n=3^{n+1}), what is the value of (a_2)?
Answer and explanation
Correct answer: 27
Given \(a_n=3^{n+1}\). Substituting \(n=2\), we get \(a_2=3^{2+1}=3^3=27\). Therefore, 27 is the correct option. Values such as 18 or 24 may result from incorrectly substituting into the exponent \(n+1\). Exam tip: while finding a term, substitute the value of \(n\) carefully into the exponent first.
Frequently asked questions
What is the correct answer to this question?
27
Why is this the correct answer?
Given \(a_n=3^{n+1}\). Substituting \(n=2\), we get \(a_2=3^{2+1}=3^3=27\). Therefore, 27 is the correct option. Values such as 18 or 24 may result from incorrectly substituting into the exponent \(n+1\). Exam tip: while finding a term, substitute the value of \(n\) carefully into the exponent first.
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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