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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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A sweet shop sells (25) boxes on the first day and (5) more boxes each next day. How many boxes are sold in (7) days?

Answer and explanation

Correct answer: \(280\)

The daily sales form an arithmetic progression with first term \(a=25\), common difference \(d=5\), and \(n=7\) terms. Thus, \(S_7=\frac{7}{2}[2(25)+(7-1)5]=\frac{7}{2}(80)=280\). Therefore, \(280\) boxes are sold in 7 days. \(285\) results from using an incorrect number of terms or common difference. Exam tip: identify \(a\), \(d\), and \(n\) before applying the AP sum formula.

Related tags

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