What will be the sixth term in (-18,-12,-6,0,\ldots)?
Answer and explanation
Correct answer: \(12\)
This is an arithmetic progression because \(6\) is added to each successive term. Here, the first term is \(a=-18\) and the common difference is \(d=6\). Therefore, \(a_6=a+5d=-18+5\times6=12\). Hence, the sixth term is \(12\). Option \(6\) is the fifth term, so it is a close but incorrect distractor. Exam tip: while finding the \(n\)th term, use \(a_n=a+(n-1)d\) carefully.
Frequently asked questions
What is the correct answer to this question?
\(12\)
Why is this the correct answer?
This is an arithmetic progression because \(6\) is added to each successive term. Here, the first term is \(a=-18\) and the common difference is \(d=6\). Therefore, \(a_6=a+5d=-18+5\times6=12\). Hence, the sixth term is \(12\). Option \(6\) is the fifth term, so it is a close but incorrect distractor. Exam tip: while finding the \(n\)th term, use \(a_n=a+(n-1)d\) carefully.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Introduction to APs and common difference..
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