In (0,5,10,15,\ldots), what are (d) and (a) respectively?
Answer and explanation
Correct answer: \(d=5,\ a=0\)
The first term of the sequence is \(a=0\). The common difference is the difference between consecutive terms: \(5-0=5\), so \(d=5\). Therefore, in the order \(d\) and \(a\), the answer is \(d=5,\ a=0\). \(d=10\) is incorrect because it is the difference between the first and third terms, not between consecutive terms. Exam tip: always use \(a=a_1\) and \(d=a_2-a_1\).
Frequently asked questions
What is the correct answer to this question?
\(d=5,\ a=0\)
Why is this the correct answer?
The first term of the sequence is \(a=0\). The common difference is the difference between consecutive terms: \(5-0=5\), so \(d=5\). Therefore, in the order \(d\) and \(a\), the answer is \(d=5,\ a=0\). \(d=10\) is incorrect because it is the difference between the first and third terms, not between consecutive terms. Exam tip: always use \(a=a_1\) and \(d=a_2-a_1\).
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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