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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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A catering service places (6) plates on the first table and (3) more plates on each next table. How many plates are placed on (8) tables?

Answer and explanation

Correct answer: (132)

The plate counts form an arithmetic progression: 6, 9, 12, \ldots. Here, the first term is \(a=6\), the common difference is \(d=3\), and the number of terms is \(n=8\). Thus, \(S_8=\frac{8}{2}[2(6)+(8-1)(3)]=4(12+21)=132\). Therefore, (132) is correct. A value such as (128) can result from using an incorrect common difference 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 ApSequence And SeriesClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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