What is the common difference of the sequence (8,13,18,23,\ldots)?
Answer and explanation
Correct answer: 5
The common difference is the difference between consecutive terms. Here, \(13-8=5\) and \(18-13=5\), so 5 is added to each term to obtain the next term. Therefore, the common difference is 5. Although 4 is a close distractor, it is not the difference between any two consecutive terms here. Exam tip: For an AP, quickly verify using \(d=a_2-a_1\).
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The common difference is the difference between consecutive terms. Here, \(13-8=5\) and \(18-13=5\), so 5 is added to each term to obtain the next term. Therefore, the common difference is 5. Although 4 is a close distractor, it is not the difference between any two consecutive terms here. Exam tip: For an AP, quickly verify using \(d=a_2-a_1\).
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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