In the sequence (15,18,21,24,\ldots), what are (a) and (d) respectively?
Answer and explanation
Correct answer: 15 and 3
The first term of the sequence is \(a=15\). The difference between consecutive terms is constant: \(18-15=3\), so the common difference is \(d=3\). Therefore, \((a,d)=(15,3)\), making option A correct. Exam tip: In an AP, \(a\) denotes the first term and \(d\) is the difference between the second and first terms.
Frequently asked questions
What is the correct answer to this question?
15 and 3
Why is this the correct answer?
The first term of the sequence is \(a=15\). The difference between consecutive terms is constant: \(18-15=3\), so the common difference is \(d=3\). Therefore, \((a,d)=(15,3)\), making option A correct. Exam tip: In an AP, \(a\) denotes the first term and \(d\) is the difference between the second and first 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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