A craftsperson makes (10) toys on the first day and (3) more toys each next day. How many toys are made on the (11)th day?
Answer and explanation
Correct answer: 40
This forms an arithmetic progression with first term \(a=10\) and common difference \(d=3\). The 11th term is \(a_{11}=a+(11-1)d=10+10\times3=40\). Therefore, the correct answer is 40. Getting 42 would result from counting the number of increases incorrectly. Exam tip: Use \(a_n=a+(n-1)d\) for the \(n\)th term of an AP.
Frequently asked questions
What is the correct answer to this question?
40
Why is this the correct answer?
This forms an arithmetic progression with first term \(a=10\) and common difference \(d=3\). The 11th term is \(a_{11}=a+(11-1)d=10+10\times3=40\). Therefore, the correct answer is 40. Getting 42 would result from counting the number of increases incorrectly. Exam tip: Use \(a_n=a+(n-1)d\) for 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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