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Which general rule generates a sequence in which each term is the square of its position number?
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Answer and explanation
Correct answer: \(a_n=n^2\)
Option A squares the position number \(n\), so its first three terms are 1, 4 and 9. In contrast, \(2n-1\) generates odd numbers, not square numbers. Exam tip: identify the operation applied to \(n\) before listing terms.
Frequently asked questions
What is the correct answer to this question?
\(a_n=n^2\)
Why is this the correct answer?
Option A squares the position number \(n\), so its first three terms are 1, 4 and 9. In contrast, \(2n-1\) generates odd numbers, not square numbers. Exam tip: identify the operation applied to \(n\) before listing terms.
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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