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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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In a mobile data plan (2) GB data is given on the first day and (3) GB more each next day. How much total data is given in (8) days?

Answer and explanation

Correct answer: 100 GB

The daily data amounts form an AP with first term \(a=2\), common difference \(d=3\), and \(n=8\) terms. Thus, \(S_8=\frac{8}{2}[2(2)+(8-1)3]=4(25)=100\) GB. Therefore, 100 GB is correct. A value such as 96 GB does not correctly account for the increase of 3 GB on each successive day. Exam tip: In AP word problems, first identify \(a\), \(d\), and \(n\), then use the formula for \(S_n\).

Related tags

Arithmetic ProgressionAp Word ProblemsSum Of TermsClass 10 MathematicsSequence And SeriesWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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