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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 (1) GB more each next day. How much data is given on the (14)th day?

Answer and explanation

Correct answer: 15 GB

This is an arithmetic progression with first term \(a=2\) GB and common difference \(d=1\) GB. The nth term is \(a_n=a+(n-1)d\). Therefore, \(a_{14}=2+(14-1)\times1=15\) GB. Option A incorrectly ignores that the increase is added 13 times after the first day. Exam tip: For the nth term of an AP, use \(n-1\) common differences.

Related tags

Arithmetic ProgressionNth TermAp Word ProblemsClass 10 MathematicsSequenceWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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