If (a=6) and (d=8), what is the (12)th term?
Answer and explanation
Correct answer: \(94\)
The \(n\)th term of an AP is \(a_n=a+(n-1)d\). Therefore, \(a_{12}=6+(12-1)\times 8=6+88=94\). Hence, \(94\) is correct. \(96\) would result from adding 12 common differences, but only 11 differences are added to reach the 12th term. Exam tip: always use \((n-1)d\) for the \(n\)th term.
Frequently asked questions
What is the correct answer to this question?
\(94\)
Why is this the correct answer?
The \(n\)th term of an AP is \(a_n=a+(n-1)d\). Therefore, \(a_{12}=6+(12-1)\times 8=6+88=94\). Hence, \(94\) is correct. \(96\) would result from adding 12 common differences, but only 11 differences are added to reach the 12th term. Exam tip: always use \((n-1)d\) for 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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