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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasyLevel 70
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A craftsperson makes (9) toys on the first day and (3) more toys each next day. How many toys are made on the (8)th day?

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Answer and explanation

Correct answer: 30

The number of toys made each day forms an AP with first term \(a=9\) and common difference \(d=3\). The eighth term is \(a_8=a+(8-1)d=9+7\times3=30\). Therefore, the correct answer is 30. Choosing 27 would add the increase only 6 times, whereas there are 7 increases from day 1 to day 8. Exam tip: use \(a_n=a+(n-1)d\), taking care to use \(n-1\), not \(n\).

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

30

Why is this the correct answer?

The number of toys made each day forms an AP with first term \(a=9\) and common difference \(d=3\). The eighth term is \(a_8=a+(8-1)d=9+7\times3=30\). Therefore, the correct answer is 30. Choosing 27 would add the increase only 6 times, whereas there are 7 increases from day 1 to day 8. Exam tip: use \(a_n=a+(n-1)d\), taking care to use \(n-1\), not \(n\).

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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