Which of the following nth-term rules represents an AP?
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Answer and explanation
Correct answer: \(a_n=7-3n\)
In an AP, the difference between consecutive terms is constant. For \(a_n=7-3n\), \(a_{n+1}-a_n=-3\), so it is an AP. The \(n^2\) rule does not give a fixed difference. Exam tip: check whether the nth term is linear in n.
Frequently asked questions
What is the correct answer to this question?
\(a_n=7-3n\)
Why is this the correct answer?
In an AP, the difference between consecutive terms is constant. For \(a_n=7-3n\), \(a_{n+1}-a_n=-3\), so it is an AP. The \(n^2\) rule does not give a fixed difference. Exam tip: check whether the nth term is linear in n.
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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