In the arithmetic progression (1,4,7,10,\ldots), how much greater is each term than the previous term?
Answer and explanation
Correct answer: 3
To find the common difference, subtract each term from the term immediately after it. Here, \(4-1=3\), \(7-4=3\), and \(10-7=3\). Therefore, each term is 3 greater than the previous term, so the common difference is 3. Exam tip: In an AP, the difference between consecutive terms remains constant.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
To find the common difference, subtract each term from the term immediately after it. Here, \(4-1=3\), \(7-4=3\), and \(10-7=3\). Therefore, each term is 3 greater than the previous term, so the common difference is 3. Exam tip: In an AP, the difference between consecutive terms remains constant.
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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