Which of the following sequences is not an AP?
Answer and explanation
Correct answer: (1, 4, 7, 11)
In an arithmetic progression, the difference between every pair of consecutive terms must be the same. In option D, the consecutive differences are 3, 3, and 4, which are not equal; hence it is not an AP. In options A, B, and C, the common differences are 3, 4, and 0 respectively, all constant. Exam tip: check every consecutive difference, not only the first two.
Frequently asked questions
What is the correct answer to this question?
(1, 4, 7, 11)
Why is this the correct answer?
In an arithmetic progression, the difference between every pair of consecutive terms must be the same. In option D, the consecutive differences are 3, 3, and 4, which are not equal; hence it is not an AP. In options A, B, and C, the common differences are 3, 4, and 0 respectively, all constant. Exam tip: check every consecutive difference, not only the first two.
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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