In the sequence (0,-3,-6,-9,\ldots), what are (a) and (d) respectively?
Answer and explanation
Correct answer: \(a=0,\ d=-3\)
In an AP, \(a\) is the first term, so \(a=0\). The common difference \(d\) is the difference between consecutive terms: \(d=-3-0=-3\). Hence, \(a=0,\ d=-3\) is correct. In option A, the sign of the common difference is incorrect. Exam tip: use \(d=a_2-a_1\), subtracting the first term from the second term.
Frequently asked questions
What is the correct answer to this question?
\(a=0,\ d=-3\)
Why is this the correct answer?
In an AP, \(a\) is the first term, so \(a=0\). The common difference \(d\) is the difference between consecutive terms: \(d=-3-0=-3\). Hence, \(a=0,\ d=-3\) is correct. In option A, the sign of the common difference is incorrect. Exam tip: use \(d=a_2-a_1\), subtracting the first term from the second term.
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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