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Which sequence is an arithmetic progression with (d=3)?

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Answer and explanation

Correct answer: (4,7,10,13,\ldots)

In option B, the differences between consecutive terms are equal: \(7-4=3\), \(10-7=3\), and \(13-10=3\). Therefore, it is an arithmetic progression with common difference \(d=3\). Option C has common difference 4, while option D has common difference −3. In an exam, find the common difference by subtracting each term from the term immediately after it.

Related tags

Arithmetic ProgressionCommon DifferenceIdentify ApClass 10

Frequently asked questions

What is the correct answer to this question?

(4,7,10,13,\ldots)

Why is this the correct answer?

In option B, the differences between consecutive terms are equal: \(7-4=3\), \(10-7=3\), and \(13-10=3\). Therefore, it is an arithmetic progression with common difference \(d=3\). Option C has common difference 4, while option D has common difference −3. In an exam, find the common difference by subtracting each term from the term immediately after it.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Introduction to APs and common difference..

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