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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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The first row of an auditorium has (16) seats and each next row has (2) more seats. How many seats are there in (20) rows?

Answer and explanation

Correct answer: 700

The seat counts form an arithmetic progression with first term 16, common difference 2, and 20 terms. Thus, \(S_{20}=\frac{20}{2}[2(16)+(20-1)\times2]=10(32+38)=700\). Therefore, there are 700 seats in 20 rows. An answer such as 720 usually results from using an incorrect last term or number of terms. Exam tip: In AP word problems, identify \(a\), \(d\), and \(n\) before applying the sum formula.

Related tags

Arithmetic ProgressionAp Word ProblemsSum Of ApAuditorium SeatsClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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