In which sequence are the consecutive differences not equal?
Answer and explanation
Correct answer: (2,3,5,8,\ldots)
In the sequence (2,3,5,8,\ldots), the differences between successive terms are \(3-2=1\), \(5-3=2\), and \(8-5=3\). Since these differences are not equal, it is not an arithmetic progression. In contrast, the common differences in A, B, and C are \(5\), \(-4\), and \(0\), respectively. Exam tip: subtract consecutive terms; a sequence is an AP only when this difference remains constant.
Frequently asked questions
What is the correct answer to this question?
(2,3,5,8,\ldots)
Why is this the correct answer?
In the sequence (2,3,5,8,\ldots), the differences between successive terms are \(3-2=1\), \(5-3=2\), and \(8-5=3\). Since these differences are not equal, it is not an arithmetic progression. In contrast, the common differences in A, B, and C are \(5\), \(-4\), and \(0\), respectively. Exam tip: subtract consecutive terms; a sequence is an AP only when this difference 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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