Which statement is correct about the sequence (2,5,10,17,\ldots)?
Answer and explanation
Correct answer: It is not an arithmetic progression
The differences between consecutive terms are 5−2=3, 10−5=5, and 17−10=7. These differences are not equal, whereas an arithmetic progression must have the same difference between every pair of consecutive terms. Therefore, the sequence is not an arithmetic progression. Exam tip: Always check consecutive differences before identifying a sequence as an AP.
Frequently asked questions
What is the correct answer to this question?
It is not an arithmetic progression
Why is this the correct answer?
The differences between consecutive terms are 5−2=3, 10−5=5, and 17−10=7. These differences are not equal, whereas an arithmetic progression must have the same difference between every pair of consecutive terms. Therefore, the sequence is not an arithmetic progression. Exam tip: Always check consecutive differences before identifying a sequence as an AP.
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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