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If (a_n=4^n) what is the value of (a_3)?
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Answer and explanation
Correct answer: 64
Given \(a_n=4^n\). Substituting \(n=3\), we get \(a_3=4^3=4\times4\times4=64\). The value \(16\) is \(4^2\), so it does not represent \(a_3\). Exam tip: when finding a term, substitute the given index correctly in the exponent.
Frequently asked questions
What is the correct answer to this question?
64
Why is this the correct answer?
Given \(a_n=4^n\). Substituting \(n=3\), we get \(a_3=4^3=4\times4\times4=64\). The value \(16\) is \(4^2\), so it does not represent \(a_3\). Exam tip: when finding a term, substitute the given index correctly in the exponent.
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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