Which of the following sequences has an \(n\)th term that represents an arithmetic progression (AP)?
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Answer and explanation
Correct answer: \(a_n=5n-3\)
The nth term of an AP is linear: \(a+(n-1)d\). For \(5n-3\), \(a_{n+1}-a_n=5\), a constant difference. For \(n^2+1\), the difference is \(2n+1\), which varies. Exam tip: check consecutive-term differences.
Frequently asked questions
What is the correct answer to this question?
\(a_n=5n-3\)
Why is this the correct answer?
The nth term of an AP is linear: \(a+(n-1)d\). For \(5n-3\), \(a_{n+1}-a_n=5\), a constant difference. For \(n^2+1\), the difference is \(2n+1\), which varies. Exam tip: check consecutive-term differences.
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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