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

The nth term of an arithmetic progression is \(a_n=12-4n\). Which statement correctly describes this AP?

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Answer and explanation

Correct answer: First term 8 and common difference \(-4\)

Putting \(n=1\) gives \(a_1=12-4=8\). The coefficient of \(n\) is the common difference, so \(d=-4\); hence the AP decreases. Do not mistake the constant 12 for the first term; substitute \(n=1\).

Tags

arithmetic progressionnth termcommon differencefirst termap formulaclass 10 mathematics

Frequently asked questions

What is the correct answer to this question?

First term 8 and common difference \(-4\)

Why is this the correct answer?

Putting \(n=1\) gives \(a_1=12-4=8\). The coefficient of \(n\) is the common difference, so \(d=-4\); hence the AP decreases. Do not mistake the constant 12 for the first term; substitute \(n=1\).

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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