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If (a_n=6^n) what is the value of (a_2)?
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Answer and explanation
Correct answer: 36
The nth term is \(a_n=6^n\). Substituting \(n=2\), we get \(a_2=6^2=36\). Note that \(216=6^3\), so it is \(a_3\), not \(a_2\). Exam tip: first substitute the required term number for \(n\) before evaluating the power.
Frequently asked questions
What is the correct answer to this question?
36
Why is this the correct answer?
The nth term is \(a_n=6^n\). Substituting \(n=2\), we get \(a_2=6^2=36\). Note that \(216=6^3\), so it is \(a_3\), not \(a_2\). Exam tip: first substitute the required term number for \(n\) before evaluating the power.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Geometric Progression.
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