A factory makes (350) items on the first day and production increases by (15) items each day. What is the production on the (22)nd day?
Answer and explanation
Correct answer: 665
This forms an arithmetic progression with first term 350 and common difference 15. The production on the 22nd day is \(a_{22}=a+(22-1)d=350+21\times15=665\). Getting 680 would mean adding 22 differences, but there are only 21 increases from day 1 to day 22. Exam tip: use \(a_n=a+(n-1)d\), paying close attention to \(n-1\).
Frequently asked questions
What is the correct answer to this question?
665
Why is this the correct answer?
This forms an arithmetic progression with first term 350 and common difference 15. The production on the 22nd day is \(a_{22}=a+(22-1)d=350+21\times15=665\). Getting 680 would mean adding 22 differences, but there are only 21 increases from day 1 to day 22. Exam tip: use \(a_n=a+(n-1)d\), paying close attention to \(n-1\).
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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