In an arithmetic progression (a,a+d,a+2d,\ldots), which is the third term?
Answer and explanation
Correct answer: a+2d
The terms of an arithmetic progression are obtained by repeatedly adding the common difference d to the first term a: the first term is a, the second is a+d, and the third is a+2d. Therefore, the correct answer is a+2d. Remember that d is added twice for the third term; it is not multiplied by a.
Frequently asked questions
What is the correct answer to this question?
a+2d
Why is this the correct answer?
The terms of an arithmetic progression are obtained by repeatedly adding the common difference d to the first term a: the first term is a, the second is a+d, and the third is a+2d. Therefore, the correct answer is a+2d. Remember that d is added twice for the third term; it is not multiplied by a.
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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