Find the (8)th term of the AP (1.5,3.0,4.5,6.0,\ldots).
Answer and explanation
Correct answer: \(12.0\)
In this AP, the first term is \(a=1.5\) and the common difference is \(d=3.0-1.5=1.5\). The \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_8=1.5+(8-1)\times1.5=12.0\). Hence, \(12.0\) is correct. \(11.5\) is not correct because each successive term increases by \(1.5\). Exam tip: identify \(a\) and \(d\) before applying the \(a_n\) formula.
Frequently asked questions
What is the correct answer to this question?
\(12.0\)
Why is this the correct answer?
In this AP, the first term is \(a=1.5\) and the common difference is \(d=3.0-1.5=1.5\). The \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_8=1.5+(8-1)\times1.5=12.0\). Hence, \(12.0\) is correct. \(11.5\) is not correct because each successive term increases by \(1.5\). Exam tip: identify \(a\) and \(d\) before applying the \(a_n\) formula.
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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