If an arithmetic progression (AP) has first term \(a\) and common difference \(d\), which expression represents its \(n\)th term?
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Answer and explanation
Correct answer: \(a_n=a+(n-1)d\)
In an AP, the common difference is added \(n-1\) times from the first term to reach the \(n\)th term, so \(a_n=a+(n-1)d\). Option B adds one extra \(d\). Exam tip: substitute \(n=1\); the result must be \(a\).
Frequently asked questions
What is the correct answer to this question?
\(a_n=a+(n-1)d\)
Why is this the correct answer?
In an AP, the common difference is added \(n-1\) times from the first term to reach the \(n\)th term, so \(a_n=a+(n-1)d\). Option B adds one extra \(d\). Exam tip: substitute \(n=1\); the result must be \(a\).
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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