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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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A catering service places (8) plates on the first table and (2) more plates on each next table. How many plates are placed on (10) tables?

Answer and explanation

Correct answer: 170

The plate counts form an arithmetic progression with first term \(a=8\), common difference \(d=2\), and \(n=10\) terms. Thus, \(S_{10}=\frac{10}{2}[2(8)+(10-1)\times2]=5(34)=170\). Therefore, 170 plates are placed on 10 tables. Getting 180 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 formula for \(S_n\).

Related tags

Arithmetic ProgressionAp Word ProblemsSum Of ApClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions ApMathematics
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