If (x+1,2x+6,5x-2) are consecutive terms of an AP, what are (x) and (d)?

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Correct answer: (x=\frac{13}{2},d=\frac{23}{2})

Equating differences gives (x+5=3x-8), so (x=\frac{13}{2}) and (d=\frac{23}{2}). In exams, do not reject a fractional answer too quickly.

What is the correct answer to this question?

(x=\frac{13}{2},d=\frac{23}{2})

Why is this the correct answer?

Equating differences gives (x+5=3x-8), so (x=\frac{13}{2}) and (d=\frac{23}{2}). In exams, do not reject a fractional answer too quickly.

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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