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If (p,q,r,s) are four consecutive terms of an AP, which relation is always true?

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Answer and explanation

Correct answer: (p+s=q+r)

Writing the terms as (p,p+d,p+2d,p+3d) gives (p+s=q+r). In exams, verify four-term relations symbolically.

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ApFour TermsIdentity

Frequently asked questions

What is the correct answer to this question?

(p+s=q+r)

Why is this the correct answer?

Writing the terms as (p,p+d,p+2d,p+3d) gives (p+s=q+r). In exams, verify four-term relations symbolically.

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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