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If (a=9) and (d=-2), what is the second term of the arithmetic progression?

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Answer and explanation

Correct answer: 7

The second term of an arithmetic progression is given by \(a_2=a+d\). Thus, \(a_2=9+(-2)=7\). The value 9 is the first term, while 11 results from incorrectly adding 2 instead of adding the negative common difference. In exams, pay careful attention to the sign of the common difference.

Related tags

Arithmetic ProgressionCommon DifferenceClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

7

Why is this the correct answer?

The second term of an arithmetic progression is given by \(a_2=a+d\). Thus, \(a_2=9+(-2)=7\). The value 9 is the first term, while 11 results from incorrectly adding 2 instead of adding the negative common difference. In exams, pay careful attention to the sign of the common difference.

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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