A student reads (5) pages on the first day and (2) more pages each next day. How many pages will the student read on the (12)th day?
Answer and explanation
Correct answer: 27
The numbers of pages form an arithmetic progression with first term \(a=5\) and common difference \(d=2\). The \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_{12}=5+(12-1)\times2=5+22=27\). Hence, the student reads 27 pages on the 12th day. Choosing 25 would count only 10 increases, but there are 11 increases from the first term to the 12th term. Exam tip: use \((n-1)\), not \(n\), when finding the \(n\)th term of an AP.
Frequently asked questions
What is the correct answer to this question?
27
Why is this the correct answer?
The numbers of pages form an arithmetic progression with first term \(a=5\) and common difference \(d=2\). The \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_{12}=5+(12-1)\times2=5+22=27\). Hence, the student reads 27 pages on the 12th day. Choosing 25 would count only 10 increases, but there are 11 increases from the first term to the 12th term. Exam tip: use \((n-1)\), not \(n\), when finding the \(n\)th term of an AP.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Word problems based on APs.
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