If an arithmetic progression has first term 4 and common difference -3, which of the following formulas represents its nth term?
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Answer and explanation
Correct answer: \(a_n=7-3n\)
The nth term of an AP is \(a_n=a+(n-1)d\). Here, \(a_n=4-3(n-1)=7-3n\), so A is correct. Option C has a positive common difference. Exam tip: check the signs of \(a\) and \(d\) first.
Frequently asked questions
What is the correct answer to this question?
\(a_n=7-3n\)
Why is this the correct answer?
The nth term of an AP is \(a_n=a+(n-1)d\). Here, \(a_n=4-3(n-1)=7-3n\), so A is correct. Option C has a positive common difference. Exam tip: check the signs of \(a\) and \(d\) first.
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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