Which of the following sequences has (a=-4) and (d=6)?
Answer and explanation
Correct answer: \((-4,2,8,14,\ldots)\)
In an AP, \(a\) is the first term and \(d\) is the difference between consecutive terms. In option B, the first term is \(-4\), and \(2-(-4)=6\) and \(8-2=6\). Hence, it has \(a=-4\) and \(d=6\). Option C also has common difference 6, but its first term is 4. Exam tip: check the first term first, then subtract the first term from the second term to find \(d\).
Frequently asked questions
What is the correct answer to this question?
\((-4,2,8,14,\ldots)\)
Why is this the correct answer?
In an AP, \(a\) is the first term and \(d\) is the difference between consecutive terms. In option B, the first term is \(-4\), and \(2-(-4)=6\) and \(8-2=6\). Hence, it has \(a=-4\) and \(d=6\). Option C also has common difference 6, but its first term is 4. Exam tip: check the first term first, then subtract the first term from the second term to find \(d\).
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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