What is (d) in the sequence (2p,2p+3,2p+6,\ldots)?
Answer and explanation
Correct answer: 3
The common difference of an arithmetic progression is the difference between two consecutive terms. Here, \(d=(2p+3)-2p=3\), and the next difference is also \((2p+6)-(2p+3)=3\). Therefore, the correct answer is 3; 6 is the total increase from the first to the third term, not the common difference. Exam tip: subtract the first term from the second term to find the common difference.
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, \(d=(2p+3)-2p=3\), and the next difference is also \((2p+6)-(2p+3)=3\). Therefore, the correct answer is 3; 6 is the total increase from the first to the third term, not the common difference. Exam tip: subtract the first term from the second term to find the common difference.
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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