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Subjects
Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APExpertLevel 66

Which of the following sequences has a general term that represents an arithmetic progression (AP)?

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Answer and explanation

Correct answer: \(a_n=5n-3\)

For \(a_n=5n-3\), the consecutive difference is \(a_{n+1}-a_n=5\), which is constant; hence it is an AP. In \(n^2+1\), the difference changes. Exam tip: any form \(pn+q\) represents an AP.

Tags

arithmetic progressionnth termsequence classificationlinear sequenceclass 10 mathematics

Frequently asked questions

What is the correct answer to this question?

\(a_n=5n-3\)

Why is this the correct answer?

For \(a_n=5n-3\), the consecutive difference is \(a_{n+1}-a_n=5\), which is constant; hence it is an AP. In \(n^2+1\), the difference changes. Exam tip: any form \(pn+q\) represents an AP.

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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