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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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In a mobile data plan (1) GB data is given on the first day and (2) GB more each next day. How much total data is given in (10) days?

Answer and explanation

Correct answer: 100 GB

The daily data amounts form an AP: \(1, 3, 5, \ldots\), where \(a=1\), \(d=2\), and \(n=10\). Thus, \(S_{10}=\frac{10}{2}[2(1)+(10-1)\times2]=5(20)=100\) GB. Therefore, 100 GB is correct. A value such as 95 GB can result from an error while counting terms or applying the sum formula. Exam tip: In AP word problems, identify \(a\), \(d\), and \(n\) before using the formula for \(S_n\).

Related tags

Arithmetic ProgressionAp Word ProblemsSum Of N TermsMathematics Class 10Sequence ApplicationWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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