The sequence (11,22,33,44,\ldots) has common difference (11). What type of sequence is it?
Answer and explanation
Correct answer: Arithmetic progression
The consecutive differences are \(22-11=11\), \(33-22=11\), and \(44-33=11\). Since the difference between every pair of consecutive terms is constant, the sequence is an arithmetic progression. A geometric progression requires a constant ratio between consecutive terms, which is not the case here. Exam tip: To identify an AP, check whether two or three consecutive differences are equal.
Frequently asked questions
What is the correct answer to this question?
Arithmetic progression
Why is this the correct answer?
The consecutive differences are \(22-11=11\), \(33-22=11\), and \(44-33=11\). Since the difference between every pair of consecutive terms is constant, the sequence is an arithmetic progression. A geometric progression requires a constant ratio between consecutive terms, which is not the case here. Exam tip: To identify an AP, check whether two or three consecutive differences 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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