A farmer plants (11) trees on the first day and (4) more trees each next day. How many trees will he plant on the (10)th day?
Answer and explanation
Correct answer: 47
The numbers of trees planted each day form an AP with first term \(a=11\) and common difference \(d=4\). The \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_{10}=11+(10-1)\times4=11+36=47\). Hence, 47 is correct. Getting 45 would result from using the number of intervals incorrectly. Exam tip: for the \(n\)th term of an AP, multiply the common difference by \((n-1)\).
Frequently asked questions
What is the correct answer to this question?
47
Why is this the correct answer?
The numbers of trees planted each day form an AP with first term \(a=11\) and common difference \(d=4\). The \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_{10}=11+(10-1)\times4=11+36=47\). Hence, 47 is correct. Getting 45 would result from using the number of intervals incorrectly. Exam tip: for the \(n\)th term of an AP, 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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
