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If (a_n=n^3), what is the value of (a_3)?
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Answer and explanation
Correct answer: 27
Given \(a_n=n^3\). For the third term, substitute \(n=3\): \(a_3=3^3=3\times3\times3=27\). Option 9 is \(3^2\), so it would result from squaring rather than cubing. Exam tip: in an explicit rule, substitute the term number directly for \(n\).
Frequently asked questions
What is the correct answer to this question?
27
Why is this the correct answer?
Given \(a_n=n^3\). For the third term, substitute \(n=3\): \(a_3=3^3=3\times3\times3=27\). Option 9 is \(3^2\), so it would result from squaring rather than cubing. Exam tip: in an explicit rule, substitute the term number directly for \(n\).
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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