What is the common difference in (7,7.5,8,8.5,\ldots)?
Answer and explanation
Correct answer: 0.5
The common difference of an AP is found by subtracting a term from the term immediately after it. Here, \(7.5-7=0.5\) and \(8-7.5=0.5\), so the common difference is \(0.5\). The value \(1\) is not the difference between consecutive terms. In exams, verify the difference using any two consecutive terms.
Frequently asked questions
What is the correct answer to this question?
0.5
Why is this the correct answer?
The common difference of an AP is found by subtracting a term from the term immediately after it. Here, \(7.5-7=0.5\) and \(8-7.5=0.5\), so the common difference is \(0.5\). The value \(1\) is not the difference between consecutive terms. In exams, verify the difference using any two consecutive terms.
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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