What will be the next term in (7,14,21,28,\ldots)?
Answer and explanation
Correct answer: 35
This is an arithmetic progression because the difference between consecutive terms is 7: \(14-7=7\), \(21-14=7\), and \(28-21=7\). Therefore, the next term is \(28+7=35\). Getting 34 would require adding 6, which is not the common difference of this sequence. Exam tip: To find the next term, first identify the difference between consecutive terms.
Frequently asked questions
What is the correct answer to this question?
35
Why is this the correct answer?
This is an arithmetic progression because the difference between consecutive terms is 7: \(14-7=7\), \(21-14=7\), and \(28-21=7\). Therefore, the next term is \(28+7=35\). Getting 34 would require adding 6, which is not the common difference of this sequence. Exam tip: To find the next term, first identify the difference between consecutive terms.
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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