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If (a, a+2d, a+5d) are in an arithmetic progression and (d \neq 0), which statement is correct?

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Answer and explanation

Correct answer: It is never an arithmetic progression

The consecutive differences are (2d) and (3d), which cannot be equal when (d \neq 0). In exams, compare consecutive differences directly.

Related tags

Arithmetic ProgressionCommon DifferenceClass 10

Frequently asked questions

What is the correct answer to this question?

It is never an arithmetic progression

Why is this the correct answer?

The consecutive differences are (2d) and (3d), which cannot be equal when (d \neq 0). In exams, compare consecutive differences directly.

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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