Which of the following sequences has a constant difference of 4 between every pair of consecutive terms?
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Answer and explanation
Correct answer: \(a_n=4n-7\)
For \(a_n=4n-7\), \(a_{n+1}-a_n=[4(n+1)-7]-(4n-7)=4\), so the common difference is constant and it is an AP. The differences in the other options vary with \(n\). Exam tip: in \(pn+q\), the common difference is \(p\).
Frequently asked questions
What is the correct answer to this question?
\(a_n=4n-7\)
Why is this the correct answer?
For \(a_n=4n-7\), \(a_{n+1}-a_n=[4(n+1)-7]-(4n-7)=4\), so the common difference is constant and it is an AP. The differences in the other options vary with \(n\). Exam tip: in \(pn+q\), the common difference is \(p\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the $n$th term of an AP.
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