A student claims that the sequence 4, 9, 14, 20 is an arithmetic progression because its terms are increasing. What is the student’s error?
Answer and explanation
Correct answer: The differences between consecutive terms are 5, 5 and 6, which are not equal.
In an AP, the difference between every pair of consecutive terms must be constant. Here, 9−4=5 and 14−9=5, but 20−14=6. So it is not an AP. Exam tip: check all consecutive differences.
Frequently asked questions
What is the correct answer to this question?
The differences between consecutive terms are 5, 5 and 6, which are not equal.
Why is this the correct answer?
In an AP, the difference between every pair of consecutive terms must be constant. Here, 9−4=5 and 14−9=5, but 20−14=6. So it is not an AP. Exam tip: check all consecutive differences.
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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