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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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A school bus travels (20) km on the first day and (5) km more each next day. How far will the bus travel on the (7)th day?

Answer and explanation

Correct answer: 50 km

The daily distances form an AP with first term 20 and common difference 5. The distance on the seventh day is \(a_7=a+(7-1)d=20+6\times5=50\) km. Choosing 55 km would incorrectly count the increase seven times instead of six. Exam tip: use \(a_n=a+(n-1)d\) for the nth term of an AP.

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermCommon DifferenceClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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