What is the common difference of the sequence (1.4,1.9,2.4,2.9,\ldots)?
Answer and explanation
Correct answer: 0.5
The common difference is found by subtracting a term from the next term. Here, \(1.9-1.4=0.5\) and \(2.4-1.9=0.5\). Since the difference between consecutive terms is the same, the common difference is \(0.5\). Option \(0.4\) is a distractor because it is not the difference between consecutive terms. Exam tip: Check at least two consecutive differences to confirm an AP.
Frequently asked questions
What is the correct answer to this question?
0.5
Why is this the correct answer?
The common difference is found by subtracting a term from the next term. Here, \(1.9-1.4=0.5\) and \(2.4-1.9=0.5\). Since the difference between consecutive terms is the same, the common difference is \(0.5\). Option \(0.4\) is a distractor because it is not the difference between consecutive terms. Exam tip: Check at least two consecutive differences to confirm 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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