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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasyLevel 71
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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?

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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 Mathematics

Frequently asked questions

What is the correct answer to this question?

50 km

Why is this the correct answer?

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.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Word problems based on APs.

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