What is the common difference of the arithmetic progression (31,28,25,22,\ldots)?
Answer and explanation
Correct answer: -3
The common difference of an arithmetic progression is the difference between two consecutive terms. Here, \(d=28-31=-3\), and the next difference is also \(25-28=-3\). Therefore, option B, \(-3\), is correct. In a decreasing arithmetic progression, the common difference is negative; check the sign by subtracting the preceding term from the next term.
Frequently asked questions
What is the correct answer to this question?
-3
Why is this the correct answer?
The common difference of an arithmetic progression is the difference between two consecutive terms. Here, \(d=28-31=-3\), and the next difference is also \(25-28=-3\). Therefore, option B, \(-3\), is correct. In a decreasing arithmetic progression, the common difference is negative; check the sign by subtracting the preceding term from the next term.
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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