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For which (r) will (9, 9+r, 9+4r, 9+9r,\ldots) be an arithmetic progression?

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Answer and explanation

Correct answer: Only (r=0)

The consecutive differences are (r,3r,5r), which are equal only when (r=0). In such questions it is necessary to write all consecutive differences.

Related tags

ApCondition For ApAlgebraic SequenceExpert

Frequently asked questions

What is the correct answer to this question?

Only (r=0)

Why is this the correct answer?

The consecutive differences are (r,3r,5r), which are equal only when (r=0). In such questions it is necessary to write all consecutive differences.

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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