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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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A school bus travels (15) km on the first day and (5) km more each next day. How far will the bus travel on the (8)th day?

Answer and explanation

Correct answer: 50 km

The distances travelled each day form an AP with first term \(a=15\) km and common difference \(d=5\) km. The \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_8=15+(8-1)\times5=15+35=50\) km. Hence, 50 km is correct. Choosing 55 km would give the 9th term, not the 8th term. Exam tip: Use \(n-1\), not \(n\), in the nth-term formula.

Related tags

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