Which sequence has common difference (6)?
Answer and explanation
Correct answer: (1, 7, 13, 19, \ldots)
In the sequence (1, 7, 13, 19, \ldots), the differences between consecutive terms are 7−1=6, 13−7=6, and 19−13=6. Therefore, its common difference is \(d=6\). Option C has common difference \(-6\), so it is not correct. Exam tip: subtract the first term from the second term to find the common difference.
Frequently asked questions
What is the correct answer to this question?
(1, 7, 13, 19, \ldots)
Why is this the correct answer?
In the sequence (1, 7, 13, 19, \ldots), the differences between consecutive terms are 7−1=6, 13−7=6, and 19−13=6. Therefore, its common difference is \(d=6\). Option C has common difference \(-6\), so it is not correct. Exam tip: subtract the first term from the second term to find the common difference.
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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