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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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In a hospital (22) patients come on the first day and (3) more patients come each next day. How many patients come in (8) days?

Answer and explanation

Correct answer: 260

This is an arithmetic progression with first term \(a=22\), common difference \(d=3\), and number of terms \(n=8\). The total number of patients is \(S_8=\frac{8}{2}[2(22)+(8-1)(3)] = 4(65)=260\). A value such as 264 can result from using the common difference or number of days incorrectly. 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 TermsClass 10 MathematicsSequence And SeriesWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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