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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasyLevel 72
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A student learns (12) words on the first day and (4) more words each next day. How many words will he learn on the (9)th day?

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Answer and explanation

Correct answer: 44

This is an arithmetic progression with first term \(a=12\) and common difference \(d=4\). The nth term is \(a_n=a+(n-1)d\). Therefore, \(a_9=12+(9-1)\times4=12+32=44\). Hence, 44 is correct. Choosing 42 would result from incorrectly counting the terms or the daily increase. Exam tip: use \(n-1\), not \(n\), in the nth-term formula.

Related tags

Arithmetic ProgressionNth TermWord ProblemsClass 10 MathematicsCommon Difference

Frequently asked questions

What is the correct answer to this question?

44

Why is this the correct answer?

This is an arithmetic progression with first term \(a=12\) and common difference \(d=4\). The nth term is \(a_n=a+(n-1)d\). Therefore, \(a_9=12+(9-1)\times4=12+32=44\). Hence, 44 is correct. Choosing 42 would result from incorrectly counting the terms or the daily increase. Exam tip: use \(n-1\), not \(n\), in the nth-term formula.

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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