Is (3,6,9,12,\ldots) an arithmetic progression?
Answer and explanation
Correct answer: Yes, because the common difference is 3
Check the differences between consecutive terms: \(6-3=3\), \(9-6=3\), and \(12-9=3\). Since the difference is always 3, the sequence is an arithmetic progression with common difference 3. Therefore, A is wrong because the terms are increasing, and D is wrong because 6 and 12 are even. Exam tip: A sequence is an AP when the differences between consecutive terms are equal.
Frequently asked questions
What is the correct answer to this question?
Yes, because the common difference is 3
Why is this the correct answer?
Check the differences between consecutive terms: \(6-3=3\), \(9-6=3\), and \(12-9=3\). Since the difference is always 3, the sequence is an arithmetic progression with common difference 3. Therefore, A is wrong because the terms are increasing, and D is wrong because 6 and 12 are even. Exam tip: A sequence is an AP when the differences between consecutive terms are equal.
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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