Which of the following sequences has (a=-6) and (d=5)?
Answer and explanation
Correct answer: \((-6,-1,4,9,\ldots)\)
In \((-6,-1,4,9,\ldots)\), the first term is \(a=-6\). The difference between consecutive terms is \(-1-(-6)=5\) and \(4-(-1)=5\), so \(d=5\). Option C has common difference 5, but its first term is 6, so it is not correct. Exam tip: In an AP, check both the first term and the difference between consecutive terms.
Frequently asked questions
What is the correct answer to this question?
\((-6,-1,4,9,\ldots)\)
Why is this the correct answer?
In \((-6,-1,4,9,\ldots)\), the first term is \(a=-6\). The difference between consecutive terms is \(-1-(-6)=5\) and \(4-(-1)=5\), so \(d=5\). Option C has common difference 5, but its first term is 6, so it is not correct. Exam tip: In an AP, check both the first term and the difference between consecutive 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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