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If (2x+1, x+8, 3x-4) are consecutive terms of an arithmetic progression, what is the value of (x)?

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Answer and explanation

Correct answer: (3)

In three consecutive terms, twice the middle term equals the sum of the other two terms. So (2(x+8)=(2x+1)+(3x-4)) gives (x=3).

Related tags

Arithmetic ProgressionAlgebraic TermsCommon DifferenceHard

Frequently asked questions

What is the correct answer to this question?

(3)

Why is this the correct answer?

In three consecutive terms, twice the middle term equals the sum of the other two terms. So (2(x+8)=(2x+1)+(3x-4)) gives (x=3).

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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