What will be the next term in (81,75,69,63,\ldots)?
Answer and explanation
Correct answer: 57
Check the difference between consecutive terms: \(75-81=-6\), \(69-75=-6\), and \(63-69=-6\). Thus, this is an arithmetic progression with common difference \(-6\). Therefore, the next term is \(63-6=57\). Getting 60 would require subtracting 3, which does not follow the given common difference. Exam tip: For a next-term question, first find the difference between consecutive terms and apply it to the last term.
Frequently asked questions
What is the correct answer to this question?
57
Why is this the correct answer?
Check the difference between consecutive terms: \(75-81=-6\), \(69-75=-6\), and \(63-69=-6\). Thus, this is an arithmetic progression with common difference \(-6\). Therefore, the next term is \(63-6=57\). Getting 60 would require subtracting 3, which does not follow the given common difference. Exam tip: For a next-term question, first find the difference between consecutive terms and apply it to the last term.
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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