In the sequence (18,23,28,33,\ldots), which term is (23)?
Answer and explanation
Correct answer: Second term
The position of a term is found by counting from the beginning of the sequence, with the first term assigned position 1. In an arithmetic progression, the term number can also be checked using \(a_n=a+(n-1)d\), but direct counting is simplest when the required term is visibly listed. The value of a term and its position are different ideas.
In \(18,23,28,33,\ldots\), the order is: 18 is term 1, 23 is term 2, 28 is term 3, and 33 is term 4. Therefore 23 is the second term, so choice B is correct. The common difference is 5, but that does not affect the requested position. Calling 23 the first term would ignore the term 18 that comes before it.
Frequently asked questions
What is the correct answer to this question?
Second term
Why is this the correct answer?
The position of a term is found by counting from the beginning of the sequence, with the first term assigned position 1. In an arithmetic progression, the term number can also be checked using \(a_n=a+(n-1)d\), but direct counting is simplest when the required term is visibly listed. The value of a term and its position are different ideas.
In \(18,23,28,33,\ldots\), the order is: 18 is term 1, 23 is term 2, 28 is term 3, and 33 is term 4. Therefore 23 is the second term, so choice B is correct. The common difference is 5, but that does not affect the requested position. Calling 23 the first term would ignore the term 18 that comes before 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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