For positive integers \(n\), which of the following nth-term expressions represents an arithmetic progression (AP)?
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Answer and explanation
Correct answer: \(a_n=4-3n\)
In an AP, the difference between consecutive terms is constant. For \(a_n=4-3n\), \(a_{n+1}-a_n=-3\), so it is an AP. For \(4-3n^2\), the difference depends on \(n\). Exam tip: check first differences.
Frequently asked questions
What is the correct answer to this question?
\(a_n=4-3n\)
Why is this the correct answer?
In an AP, the difference between consecutive terms is constant. For \(a_n=4-3n\), \(a_{n+1}-a_n=-3\), so it is an AP. For \(4-3n^2\), the difference depends on \(n\). Exam tip: check first 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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