What is the common difference of \(\frac{3}{2},2,\frac{5}{2},3,\ldots\)?
Answer and explanation
Correct answer: \(\frac{1}{2}\)
The common difference is found by subtracting a term from the term immediately after it. Here, \(2-\frac{3}{2}=\frac{1}{2}\) and \(\frac{5}{2}-2=\frac{1}{2}\). Therefore, the common difference is \(\frac{1}{2}\). The value \(1\) is not the increase between consecutive terms. Exam tip: In an AP, the difference between every pair of consecutive terms must be the same.
Frequently asked questions
What is the correct answer to this question?
\(\frac{1}{2}\)
Why is this the correct answer?
The common difference is found by subtracting a term from the term immediately after it. Here, \(2-\frac{3}{2}=\frac{1}{2}\) and \(\frac{5}{2}-2=\frac{1}{2}\). Therefore, the common difference is \(\frac{1}{2}\). The value \(1\) is not the increase between consecutive terms. Exam tip: In an AP, the difference between every pair of consecutive terms must be the same.
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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