What is the common difference of \(\frac{1}{5},\frac{3}{5},1,\frac{7}{5},\ldots\)?
Answer and explanation
Correct answer: \(\frac{2}{5}\)
In an arithmetic progression, the common difference is the difference between consecutive terms. Here, \(\frac{3}{5}-\frac{1}{5}=\frac{2}{5}\). Also, \(1-\frac{3}{5}=\frac{2}{5}\), confirming that the common difference is \(\frac{2}{5}\). \(\frac{1}{5}\) is the first term, not the common difference. Exam tip: calculate common difference as next term minus previous term.
Frequently asked questions
What is the correct answer to this question?
\(\frac{2}{5}\)
Why is this the correct answer?
In an arithmetic progression, the common difference is the difference between consecutive terms. Here, \(\frac{3}{5}-\frac{1}{5}=\frac{2}{5}\). Also, \(1-\frac{3}{5}=\frac{2}{5}\), confirming that the common difference is \(\frac{2}{5}\). \(\frac{1}{5}\) is the first term, not the common difference. Exam tip: calculate common difference as next term minus previous term.
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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