A school bus travels (25) 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: 60 km
The distances travelled each day form an AP with first term 25 km and common difference 5 km. The eighth term is \(a_8=a+(8-1)d=25+7\times5=60\) km. Therefore, the correct answer is 60 km. Choosing 55 km would count the increase for only 6 days. Exam tip: for the \(n\)th term, multiply the common difference by \(n-1\).
Frequently asked questions
What is the correct answer to this question?
60 km
Why is this the correct answer?
The distances travelled each day form an AP with first term 25 km and common difference 5 km. The eighth term is \(a_8=a+(8-1)d=25+7\times5=60\) km. Therefore, the correct answer is 60 km. Choosing 55 km would count the increase for only 6 days. Exam tip: for the \(n\)th term, multiply the common difference by \(n-1\).
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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