The sequence (2,4,6,8,\ldots) has common difference (2). What type of sequence is it?
Answer and explanation
Correct answer: Arithmetic progression
The differences between consecutive terms are equal: 4−2=2, 6−4=2, and 8−6=2. Therefore, the sequence is an arithmetic progression. It is not a geometric progression because a geometric progression must have a constant ratio between consecutive terms, which is not true here. Exam tip: To identify an arithmetic progression, check whether the differences between consecutive terms are equal.
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What is the correct answer to this question?
Arithmetic progression
Why is this the correct answer?
The differences between consecutive terms are equal: 4−2=2, 6−4=2, and 8−6=2. Therefore, the sequence is an arithmetic progression. It is not a geometric progression because a geometric progression must have a constant ratio between consecutive terms, which is not true here. Exam tip: To identify an arithmetic progression, check whether 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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