Which of the following term expressions defines an arithmetic progression (AP)?
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Answer and explanation
Correct answer: \(a_n=7+4(n-1)\)
In an AP, consecutive terms have a constant difference, so its nth term has the form \(a_n=a+(n-1)d\). Option A has \(a=7\) and \(d=4\). In option B, the difference changes. Exam tip: check whether \(n\) is linear for an AP.
Frequently asked questions
What is the correct answer to this question?
\(a_n=7+4(n-1)\)
Why is this the correct answer?
In an AP, consecutive terms have a constant difference, so its nth term has the form \(a_n=a+(n-1)d\). Option A has \(a=7\) and \(d=4\). In option B, the difference changes. Exam tip: check whether \(n\) is linear for an AP.
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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