In the sequence (9,16,23,30,\ldots), what is the value of (a+2d)?
Answer and explanation
Correct answer: 23
In this AP, the first term is \(a=9\) and the common difference is \(d=16-9=7\). Therefore, \(a+2d=9+2\times7=23\). It is also the third term, since the third term of an AP is \(a+2d\). Option 30 is the fourth term, \(a+3d\), so it is not correct. Exam tip: The \(n\)th term of an AP is \(a+(n-1)d\).
Frequently asked questions
What is the correct answer to this question?
23
Why is this the correct answer?
In this AP, the first term is \(a=9\) and the common difference is \(d=16-9=7\). Therefore, \(a+2d=9+2\times7=23\). It is also the third term, since the third term of an AP is \(a+2d\). Option 30 is the fourth term, \(a+3d\), so it is not correct. Exam tip: The \(n\)th term of an AP is \(a+(n-1)d\).
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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