If every next term is (9) more than the previous term, what is the common difference?
Answer and explanation
Correct answer: 9
The common difference of an arithmetic progression is the difference between consecutive terms: \(d=a_{n+1}-a_n\). Since each next term is 9 greater than the previous term, \(d=9\). Option D is incorrect because it represents decreasing terms. Exam tip: “that much more each time” gives a positive common difference, while “that much less” gives a negative one.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
The common difference of an arithmetic progression is the difference between consecutive terms: \(d=a_{n+1}-a_n\). Since each next term is 9 greater than the previous term, \(d=9\). Option D is incorrect because it represents decreasing terms. Exam tip: “that much more each time” gives a positive common difference, while “that much less” gives a negative one.
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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