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On a mobile app (100) users joined on the first day and (50) more users joined each next day. How many users join in (5) days?

Answer and explanation

Correct answer: 1000

The numbers of users joining each day form an AP: \(100, 150, 200, 250, 300\). Here, \(a=100\), \(d=50\), and \(n=5\). Thus, \(S_5=\frac{5}{2}[2(100)+(5-1)50]=1000\). Therefore, 1000 users join in total in 5 days. Choosing 1050 does not give the correct sum of the five terms. Exam tip: Check whether the question asks for the total \(S_n\) or only the \(n\)th term.

Related tags

Arithmetic ProgressionAp Word ProblemsSum Of ApNth TermClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap

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