If (y-2,y+1,y+4,\ldots) is an arithmetic progression, what is (d)?
Answer and explanation
Correct answer: 3
In an arithmetic progression, the common difference \(d\) is the difference between consecutive terms. Here, \((y+1)-(y-2)=y+1-y+2=3\). Also, \((y+4)-(y+1)=3\), so \(d=3\). \(y-2\) and \(y+1\) are terms of the AP, not the common difference. Exam tip: Find \(d=a_2-a_1\) and verify it using the next pair of terms.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
In an arithmetic progression, the common difference \(d\) is the difference between consecutive terms. Here, \((y+1)-(y-2)=y+1-y+2=3\). Also, \((y+4)-(y+1)=3\), so \(d=3\). \(y-2\) and \(y+1\) are terms of the AP, not the common difference. Exam tip: Find \(d=a_2-a_1\) and verify it using the next pair of terms.
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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