If the \(n\)th term of a sequence is \(a_n=7-3n\), which of the following correctly identifies this arithmetic progression?
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Answer and explanation
Correct answer: First term 4 and common difference \(-3\)
The standard AP form is \(a_n=a+(n-1)d\). Here, \(a_1=7-3(1)=4\), and each successive term changes by \(-3\); hence \(d=-3\). Exam tip: substitute \(n=1\) to verify the first term.
Frequently asked questions
What is the correct answer to this question?
First term 4 and common difference \(-3\)
Why is this the correct answer?
The standard AP form is \(a_n=a+(n-1)d\). Here, \(a_1=7-3(1)=4\), and each successive term changes by \(-3\); hence \(d=-3\). Exam tip: substitute \(n=1\) to verify the first term.
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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