In the sequence (8,13,18,23,\ldots), what will be the next term after (23)?
Answer and explanation
Correct answer: (28)
In an arithmetic progression, the same number is added or subtracted to get each next term. That fixed number is called the common difference. In the given sequence, the terms increase regularly, so we can find the next term by adding the difference to the last displayed term. This makes option B the correct answer.
The consecutive differences are \(13-8=5\), \(18-13=5\), and \(23-18=5\). Therefore the common difference is 5. Adding it to the last term gives \(23+5=28\). Hence the next term is 28. The other choices do not continue the established pattern because they add 3, 7, or 8 instead of 5.
Frequently asked questions
What is the correct answer to this question?
(28)
Why is this the correct answer?
In an arithmetic progression, the same number is added or subtracted to get each next term. That fixed number is called the common difference. In the given sequence, the terms increase regularly, so we can find the next term by adding the difference to the last displayed term. This makes option B the correct answer.
The consecutive differences are \(13-8=5\), \(18-13=5\), and \(23-18=5\). Therefore the common difference is 5. Adding it to the last term gives \(23+5=28\). Hence the next term is 28. The other choices do not continue the established pattern because they add 3, 7, or 8 instead of 5.
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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