Which of the following formulas represents the \(n\)th term of an AP whose first term is \(-3\) and common difference is \(4\)?
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Answer and explanation
Correct answer: \(4n-7\)
The nth term of an AP is \(a_n=a+(n-1)d\). With \(a=-3\) and \(d=4\), \(a_n=-3+4(n-1)=4n-7\). In option B, substituting \(n=1\) gives first term 1. Exam tip: verify both the first term and coefficient of \(n\).
Frequently asked questions
What is the correct answer to this question?
\(4n-7\)
Why is this the correct answer?
The nth term of an AP is \(a_n=a+(n-1)d\). With \(a=-3\) and \(d=4\), \(a_n=-3+4(n-1)=4n-7\). In option B, substituting \(n=1\) gives first term 1. Exam tip: verify both the first term and coefficient of \(n\).
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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