If a sequence is (12,12,12,12,\ldots), what type of arithmetic progression is it?
Answer and explanation
Correct answer: Arithmetic progression with constant terms
The difference between consecutive terms is 12 - 12 = 0, and this difference is the same for every pair of consecutive terms. Hence, it is an arithmetic progression with common difference d = 0 and constant terms. An increasing or decreasing AP has a positive or negative common difference, respectively. Exam tip: To identify the type of an AP, check the sign of its common difference d.
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What is the correct answer to this question?
Arithmetic progression with constant terms
Why is this the correct answer?
The difference between consecutive terms is 12 - 12 = 0, and this difference is the same for every pair of consecutive terms. Hence, it is an arithmetic progression with common difference d = 0 and constant terms. An increasing or decreasing AP has a positive or negative common difference, respectively. Exam tip: To identify the type of an AP, check the sign of its common difference d.
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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