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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasyLevel 72
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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?

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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 Series

Frequently asked questions

What is the correct answer to this question?

260

Why is this the correct answer?

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 \(S_n\).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Word problems based on APs.

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