Which of the following sequences does not represent the nth term of an arithmetic progression (AP)?
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Answer and explanation
Correct answer: \(a_n=3n^2-2\)
For \(a_n=3n^2-2\), \(a_1=1,a_2=10,a_3=25\), so the consecutive differences are \(9\) and \(15\), not constant. An AP has a linear nth-term form \(pn+q\). Exam tip: check whether first differences are equal.
Frequently asked questions
What is the correct answer to this question?
\(a_n=3n^2-2\)
Why is this the correct answer?
For \(a_n=3n^2-2\), \(a_1=1,a_2=10,a_3=25\), so the consecutive differences are \(9\) and \(15\), not constant. An AP has a linear nth-term form \(pn+q\). Exam tip: check whether first differences are equal.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the $n$th term of an AP.
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