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In an arithmetic progression (a,a+d,a+2d,\ldots), which is the second term?

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Answer and explanation

Correct answer: a+d

In an arithmetic progression, the first term is a and the common difference d is added to obtain each successive term. Thus, in the sequence a, a+d, a+2d, ..., the second term is a+d. The expression a+2d represents the third term, not the second. Exam tip: remember the first few terms as a, a+d, a+2d, ... to identify the required term quickly.

Related tags

Arithmetic ProgressionCommon DifferenceSecond TermGeneral FormClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

a+d

Why is this the correct answer?

In an arithmetic progression, the first term is a and the common difference d is added to obtain each successive term. Thus, in the sequence a, a+d, a+2d, ..., the second term is a+d. The expression a+2d represents the third term, not the second. Exam tip: remember the first few terms as a, a+d, a+2d, ... to identify the required term quickly.

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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