If a sequence is (5,5,5,5,\ldots), what type of arithmetic progression is it?
Answer and explanation
Correct answer: Constant-term
The common difference of an arithmetic progression is the difference between consecutive terms. Here, \(d=5-5=0\), and the difference between every pair of consecutive terms is also zero. Therefore, all the terms are equal, so it is an arithmetic progression with constant terms. It is neither increasing nor decreasing. Exam tip: an AP with \(d=0\) is called a constant AP.
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What is the correct answer to this question?
Constant-term
Why is this the correct answer?
The common difference of an arithmetic progression is the difference between consecutive terms. Here, \(d=5-5=0\), and the difference between every pair of consecutive terms is also zero. Therefore, all the terms are equal, so it is an arithmetic progression with constant terms. It is neither increasing nor decreasing. Exam tip: an AP with \(d=0\) is called a constant AP.
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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