What will be the next term in (30,27,24,21,\ldots)?
Answer and explanation
Correct answer: 18
The common difference is the difference between consecutive terms: \(27-30=-3\), \(24-27=-3\), and \(21-24=-3\). Therefore, the next term is \(21+(-3)=18\). Option 19 is incorrect because it would give a difference of \(-2\), whereas the sequence decreases by 3 each time. Exam tip: identify the common difference first, then add it to the last given term.
Frequently asked questions
What is the correct answer to this question?
18
Why is this the correct answer?
The common difference is the difference between consecutive terms: \(27-30=-3\), \(24-27=-3\), and \(21-24=-3\). Therefore, the next term is \(21+(-3)=18\). Option 19 is incorrect because it would give a difference of \(-2\), whereas the sequence decreases by 3 each time. Exam tip: identify the common difference first, then add it to the last given 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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