Which of the following sequences has common difference (7)?
Answer and explanation
Correct answer: (2, 9, 16, 23, \ldots)
In option B, the differences between consecutive terms are equal: 9−2=7, 16−9=7, and 23−16=7. Therefore, its common difference is 7. Option A has a common difference of 5, while the consecutive differences in options C and D are not equal. Exam tip: subtract each term from the next one; in an AP, the difference must remain constant.
Frequently asked questions
What is the correct answer to this question?
(2, 9, 16, 23, \ldots)
Why is this the correct answer?
In option B, the differences between consecutive terms are equal: 9−2=7, 16−9=7, and 23−16=7. Therefore, its common difference is 7. Option A has a common difference of 5, while the consecutive differences in options C and D are not equal. Exam tip: subtract each term from the next one; in an AP, the difference must remain 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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