If (a=0), (d=11), and (n=11), what is (a_n)?
Answer and explanation
Correct answer: 110
The nth term of an AP is \(a_n=a+(n-1)d\). Substituting \(a=0\), \(n=11\), and \(d=11\), we get \(a_{11}=0+(11-1)\times11=110\). Choosing \(111\) would result from incorrectly using \(n\times d\), whereas the formula uses \(n-1\). Exam tip: write \(n-1\) first before substituting values in the nth-term formula.
Frequently asked questions
What is the correct answer to this question?
110
Why is this the correct answer?
The nth term of an AP is \(a_n=a+(n-1)d\). Substituting \(a=0\), \(n=11\), and \(d=11\), we get \(a_{11}=0+(11-1)\times11=110\). Choosing \(111\) would result from incorrectly using \(n\times d\), whereas the formula uses \(n-1\). Exam tip: write \(n-1\) first before substituting values 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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