A farmer sells (25) kg grain in the first week and (5) kg more each next week. How much grain will he sell in (10) weeks?
Answer and explanation
Correct answer: kg
The weekly sales form an arithmetic progression with first term \(a=25\), common difference \(d=5\), and \(n=10\) terms. Thus, \(S_{10}=\frac{10}{2}[2(25)+(10-1)5]=5(95)=475\) kg. Therefore, option B is correct. Taking 500 kg does not account for the weekly increase correctly. Exam tip: In AP word problems, first identify \(a\), \(d\), and \(n\).
Frequently asked questions
What is the correct answer to this question?
kg
Why is this the correct answer?
The weekly sales form an arithmetic progression with first term \(a=25\), common difference \(d=5\), and \(n=10\) terms. Thus, \(S_{10}=\frac{10}{2}[2(25)+(10-1)5]=5(95)=475\) kg. Therefore, option B is correct. Taking 500 kg does not account for the weekly increase correctly. Exam tip: In AP word problems, first identify \(a\), \(d\), and \(n\).
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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