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A shopkeeper sells (12) notebooks on the first day and (4) more notebooks each next day. How many notebooks are sold in (6) days?

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Answer and explanation

Correct answer: 132

The daily notebook sales form the AP \(12,16,20,24,28,32\). Here, \(a=12\), \(d=4\), and \(n=6\). Thus, \(S_6=\frac{6}{2}[2(12)+(6-1)4]=3(44)=132\). Therefore, the correct answer is 132. Option 128 may result from omitting the last term or making an addition error. Exam tip: In AP word problems, first identify \(a\), \(d\), and \(n\), then apply the formula for \(S_n\).

Related tags

Arithmetic ProgressionAp Word ProblemsSum Of N TermsMathematics Class 10Sequence And Series

Frequently asked questions

What is the correct answer to this question?

132

Why is this the correct answer?

The daily notebook sales form the AP \(12,16,20,24,28,32\). Here, \(a=12\), \(d=4\), and \(n=6\). Thus, \(S_6=\frac{6}{2}[2(12)+(6-1)4]=3(44)=132\). Therefore, the correct answer is 132. Option 128 may result from omitting the last term or making an addition error. Exam tip: In AP word problems, first identify \(a\), \(d\), and \(n\), then apply the formula for \(S_n\).

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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