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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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In an online course (6) videos are uploaded in the first week and (3) more videos each next week. How many videos are uploaded in (9) weeks?

Answer and explanation

Correct answer: 162

The weekly numbers of uploaded videos form the AP 6, 9, 12, \(\ldots\), where \(a=6\), \(d=3\), and \(n=9\). Thus, \(S_9=\frac{9}{2}[2(6)+(9-1)3]=\frac{9}{2}(36)=162\). Therefore, 162 videos are uploaded in 9 weeks. The value 168 can result from using an incorrect term or common difference. Exam tip: for a total in AP word problems, use the sum formula \(S_n\), not just the nth-term formula \(a_n\).

Related tags

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