Which of the following rules defines an arithmetic progression (AP) for every positive integer \(n\)?
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Answer and explanation
Correct answer: \(a_n=5n-2\)
In an AP, \(a_{n+1}-a_n\) must be constant for every \(n\). For option A, \([5(n+1)-2]-(5n-2)=5\). In B, the difference changes with \(n\). Exam tip: look for the linear form \(pn+q\).
Frequently asked questions
What is the correct answer to this question?
\(a_n=5n-2\)
Why is this the correct answer?
In an AP, \(a_{n+1}-a_n\) must be constant for every \(n\). For option A, \([5(n+1)-2]-(5n-2)=5\). In B, the difference changes with \(n\). Exam tip: look for the linear form \(pn+q\).
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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