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In the sequence (0,-4,-8,-12,\ldots), what are (a) and (d) respectively?

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Answer and explanation

Correct answer: \(0, -4\)

In an AP, \(a\) is the first term, so \(a=0\). The common difference is \(d=a_2-a_1=-4-0=-4\). Hence, the correct pair is \(0,-4\). In option B, \(-4\) is the second term, not the first term. Exam tip: To find \(d\), subtract a term from the term immediately following it.

Related tags

Arithmetic ProgressionFirst TermCommon DifferenceNegative IntegersClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

\(0, -4\)

Why is this the correct answer?

In an AP, \(a\) is the first term, so \(a=0\). The common difference is \(d=a_2-a_1=-4-0=-4\). Hence, the correct pair is \(0,-4\). In option B, \(-4\) is the second term, not the first term. Exam tip: To find \(d\), subtract a term from the term immediately following it.

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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