In a tree plantation drive (18) trees are planted on the first day and (6) more trees each next day. How many trees are planted on the (7)th day?
Answer and explanation
Correct answer: 54
The numbers of trees planted each day form an AP with first term \(a=18\) and common difference \(d=6\). The seventh term is \(a_7=a+(7-1)d=18+6\times6=54\). Therefore, the correct answer is 54. Getting 48 would result from counting the number of increases incorrectly. Exam tip: use \(n-1\), not \(n\), when finding the \(n\)th term of an AP.
Frequently asked questions
What is the correct answer to this question?
54
Why is this the correct answer?
The numbers of trees planted each day form an AP with first term \(a=18\) and common difference \(d=6\). The seventh term is \(a_7=a+(7-1)d=18+6\times6=54\). Therefore, the correct answer is 54. Getting 48 would result from counting the number of increases incorrectly. Exam tip: use \(n-1\), not \(n\), when finding the \(n\)th 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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