If (r-9,r-3,r+3,\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, \((r-3)-(r-9)=r-3-r+9=6\). Checking the next pair, \((r+3)-(r-3)=6\) as well. Therefore, \(d=6\). Option \(r\) is incorrect because the common difference must not depend on the variable. Exam tip: Find \(d\) by subtracting the first term from the second term.
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, \((r-3)-(r-9)=r-3-r+9=6\). Checking the next pair, \((r+3)-(r-3)=6\) as well. Therefore, \(d=6\). Option \(r\) is incorrect because the common difference must not depend on the variable. Exam tip: Find \(d\) by subtracting the first term from the second term.
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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