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Subjects
Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APExpertLevel 64

Under which condition does the \(n\)th term of an arithmetic progression remain independent of the value of \(n\)?

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Answer and explanation

Correct answer: \(d=0\)

For an AP, \(a_n=a+(n-1)d\). If \(d=0\), then \(a_n=a\), so every term is constant. Setting only \(a=0\) does not make terms constant. Exam tip: the coefficient of \(n\) is \(d\).

Tags

arithmetic progressionnth termcommon differenceap propertiesclass 10 mathematics

Frequently asked questions

What is the correct answer to this question?

\(d=0\)

Why is this the correct answer?

For an AP, \(a_n=a+(n-1)d\). If \(d=0\), then \(a_n=a\), so every term is constant. Setting only \(a=0\) does not make terms constant. Exam tip: the coefficient of \(n\) is \(d\).

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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