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If an AP has (a=14), (d=3), and (n=11), what is (a_n)?
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Answer and explanation
Correct answer: 44
The formula for the nth term of an AP is \(a_n=a+(n-1)d\). Thus, \(a_{11}=14+(11-1)\times3=14+30=44\). Hence, 44 is correct. The value 47 results from incorrectly using \(n\) instead of \(n-1\). Exam tip: calculate \(n-1\) first, then multiply it by \(d\).
Frequently asked questions
What is the correct answer to this question?
44
Why is this the correct answer?
The formula for the nth term of an AP is \(a_n=a+(n-1)d\). Thus, \(a_{11}=14+(11-1)\times3=14+30=44\). Hence, 44 is correct. The value 47 results from incorrectly using \(n\) instead of \(n-1\). Exam tip: calculate \(n-1\) first, then multiply it by \(d\).
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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