Which sequence has common difference (7)?
Answer and explanation
Correct answer: \((5,12,19,26,\ldots)\)
In option A, the difference between consecutive terms is constant: \(12-5=7\), \(19-12=7\), and \(26-19=7\). Therefore, its common difference is \(d=7\). Option B has common difference \(5\), whereas option C has common difference \(-7\). Exam tip: Subtract the first term from the second term, then verify with the next pair of terms.
Frequently asked questions
What is the correct answer to this question?
\((5,12,19,26,\ldots)\)
Why is this the correct answer?
In option A, the difference between consecutive terms is constant: \(12-5=7\), \(19-12=7\), and \(26-19=7\). Therefore, its common difference is \(d=7\). Option B has common difference \(5\), whereas option C has common difference \(-7\). Exam tip: Subtract the first term from the second term, then verify with the next pair of 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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