If the nth term of an arithmetic progression is \(a_n=4-7(n-1)\), which of the following statements is correct?
Advertisement
Answer and explanation
Correct answer: The common difference is \(-7\) and the AP is decreasing.
Comparing with \(a_n=a+(n-1)d\), we get \(a=4\) and \(d=-7\). A negative common difference means each next term is 7 less, so the AP decreases. Exam tip: the coefficient of \((n-1)\) is the common difference.
Frequently asked questions
What is the correct answer to this question?
The common difference is \(-7\) and the AP is decreasing.
Why is this the correct answer?
Comparing with \(a_n=a+(n-1)d\), we get \(a=4\) and \(d=-7\). A negative common difference means each next term is 7 less, so the AP decreases. Exam tip: the coefficient of \((n-1)\) is the common difference.
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.
Advertisement