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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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In a theatre the first row has (14) seats and each next row has (4) more seats. How many seats are there in (10) rows?

Answer and explanation

Correct answer: 320

The numbers of seats form an AP with first term \(a=14\), common difference \(d=4\), and number of rows \(n=10\). Thus, \(S_{10}=\frac{10}{2}[2(14)+(10-1)\times4]=5(28+36)=320\). Therefore, there are 320 seats in 10 rows. The option 330 can result from using an incorrect number of terms or common difference. Exam tip: In AP word problems, identify \(a\), \(d\), and \(n\) before applying the formula for \(S_n\).

Related tags

Arithmetic ProgressionAp Word ProblemsSum Of N TermsTheatre SeatingClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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