Find the (14)th term of the AP (5,14,23,32,\ldots).
Answer and explanation
Correct answer: 122
The first term is \(a=5\) and the common difference is \(d=14-5=9\). The \(n\)th term of an AP is \(a_n=a+(n-1)d\). Therefore, \(a_{14}=5+(14-1)\times 9=5+117=122\). Hence, 122 is correct. Getting 124 would result from an arithmetic error. Exam tip: use \(n-1\), not \(n\), when finding the \(n\)th term.
Frequently asked questions
What is the correct answer to this question?
122
Why is this the correct answer?
The first term is \(a=5\) and the common difference is \(d=14-5=9\). The \(n\)th term of an AP is \(a_n=a+(n-1)d\). Therefore, \(a_{14}=5+(14-1)\times 9=5+117=122\). Hence, 122 is correct. Getting 124 would result from an arithmetic error. Exam tip: use \(n-1\), not \(n\), when finding the \(n\)th 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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