If (u-8, u-2, u+4,\ldots) is an arithmetic progression, what is (d)?
Answer and explanation
Correct answer: \(6\)
In an arithmetic progression, the common difference is the difference between consecutive terms. Here, \((u-2)-(u-8)=6\) and \((u+4)-(u-2)=6\). Thus, 6 is added to each successive term, so \(d=6\). \(u+6\) may be a next term, not the common difference. Exam tip: quickly check \(d=a_2-a_1\).
Frequently asked questions
What is the correct answer to this question?
\(6\)
Why is this the correct answer?
In an arithmetic progression, the common difference is the difference between consecutive terms. Here, \((u-2)-(u-8)=6\) and \((u+4)-(u-2)=6\). Thus, 6 is added to each successive term, so \(d=6\). \(u+6\) may be a next term, not the common difference. Exam tip: quickly check \(d=a_2-a_1\).
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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