Why is (3,6,12,24,\ldots) not an arithmetic progression?
Answer and explanation
Correct answer: Because the differences between consecutive terms are not equal
In an arithmetic progression, the difference between every pair of consecutive terms must be constant. Here, the differences are 6−3=3, 12−6=6, and 24−12=12. Since these are not equal, the sequence is not an arithmetic progression. In an exam, first check consecutive differences; being positive or integral does not make a sequence an AP.
Frequently asked questions
What is the correct answer to this question?
Because the differences between consecutive terms are not equal
Why is this the correct answer?
In an arithmetic progression, the difference between every pair of consecutive terms must be constant. Here, the differences are 6−3=3, 12−6=6, and 24−12=12. Since these are not equal, the sequence is not an arithmetic progression. In an exam, first check consecutive differences; being positive or integral does not make a sequence 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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