What is the (11)th term of the AP (8,15,22,29,\ldots)?
Answer and explanation
Correct answer: \(78\)
In this AP, the first term is \(a=8\) and the common difference is \(d=15-8=7\). The \(n\)th term is given by \(a_n=a+(n-1)d\). Therefore, \(a_{11}=8+(11-1)\times7=8+70=78\). Hence, \(78\) is correct. Getting \(76\) usually results from using an incorrect number of differences instead of \(n-1\). Exam tip: for the \(n\)th term, always add \(n-1\) common differences to the first term.
Frequently asked questions
What is the correct answer to this question?
\(78\)
Why is this the correct answer?
In this AP, the first term is \(a=8\) and the common difference is \(d=15-8=7\). The \(n\)th term is given by \(a_n=a+(n-1)d\). Therefore, \(a_{11}=8+(11-1)\times7=8+70=78\). Hence, \(78\) is correct. Getting \(76\) usually results from using an incorrect number of differences instead of \(n-1\). Exam tip: for the \(n\)th term, always add \(n-1\) common differences to the first 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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