Find the (24)th term of the AP (12,17,22,27,\ldots).
Answer and explanation
Correct answer: 127
For this AP, the first term is \(a=12\) and the common difference is \(d=17-12=5\). The \(n\)th term is given by \(a_n=a+(n-1)d\). Thus, \(a_{24}=12+(24-1)\times5=12+115=127\). Therefore, 127 is correct. A value such as 125 results from an incorrect count of the common differences. Exam tip: always use \((n-1)d\), not \(nd\), in the nth-term formula.
Frequently asked questions
What is the correct answer to this question?
127
Why is this the correct answer?
For this AP, the first term is \(a=12\) and the common difference is \(d=17-12=5\). The \(n\)th term is given by \(a_n=a+(n-1)d\). Thus, \(a_{24}=12+(24-1)\times5=12+115=127\). Therefore, 127 is correct. A value such as 125 results from an incorrect count of the common differences. Exam tip: always use \((n-1)d\), not \(nd\), in the nth-term 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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