Which sequence is an arithmetic progression because of equal differences?
Answer and explanation
Correct answer: (3, 8, 13, 18, \ldots)
In option B, the differences between consecutive terms are equal: \(8-3=5\), \(13-8=5\), and \(18-13=5\). Thus, its common difference is 5, so it is an arithmetic progression. In option A and option D, the terms are multiplied by 2, while option C has differences 3, 5, and 7; therefore, none of them is an arithmetic progression. For exams, calculate the differences between consecutive terms to identify an AP quickly.
Frequently asked questions
What is the correct answer to this question?
(3, 8, 13, 18, \ldots)
Why is this the correct answer?
In option B, the differences between consecutive terms are equal: \(8-3=5\), \(13-8=5\), and \(18-13=5\). Thus, its common difference is 5, so it is an arithmetic progression. In option A and option D, the terms are multiplied by 2, while option C has differences 3, 5, and 7; therefore, none of them is an arithmetic progression. For exams, calculate the differences between consecutive terms to identify an AP quickly.
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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