In which option do the terms form an arithmetic progression with common difference 0?
Answer and explanation
Correct answer: (6, 6, 6, 6)
An arithmetic progression has the same difference between every pair of consecutive terms. In option A, 6-6=0 for every step, so its common difference is 0. Option B has common difference 6, and option C has common difference -6. Option D has differences 0, 6 and 0, which are not equal. Hence the constant sequence in option A is correct.
Frequently asked questions
What is the correct answer to this question?
(6, 6, 6, 6)
Why is this the correct answer?
An arithmetic progression has the same difference between every pair of consecutive terms. In option A, 6-6=0 for every step, so its common difference is 0. Option B has common difference 6, and option C has common difference -6. Option D has differences 0, 6 and 0, which are not equal. Hence the constant sequence in option A is correct.
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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