A factory makes (150) toys on the first day and (20) more toys each next day. How many toys are made on the (6)th day?
Answer and explanation
Correct answer: 250
The daily production forms an AP with first term \(a=150\) and common difference \(d=20\). Thus, the production on the sixth day is \(a_6=a+(6-1)d=150+5\times20=250\). The answer 270 results from adding 20 six times, but there are only five increases after the first day. Exam tip: use \(a_n=a+(n-1)d\) for the \(n\)th term.
Frequently asked questions
What is the correct answer to this question?
250
Why is this the correct answer?
The daily production forms an AP with first term \(a=150\) and common difference \(d=20\). Thus, the production on the sixth day is \(a_6=a+(6-1)d=150+5\times20=250\). The answer 270 results from adding 20 six times, but there are only five increases after the first day. Exam tip: use \(a_n=a+(n-1)d\) 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: Word problems based on APs.
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