A machine produces (15) more items each hour. The production is (20,35,50,65,\ldots). What is the difference between the third and first terms?
Answer and explanation
Correct answer: 30
The AP is 20, 35, 50, 65, \ldots, where \(a_1=20\) and \(a_3=50\). Therefore, \(a_3-a_1=50-20=30\). The common difference is \(d=15\), but the difference between the first and third terms is \(2d=30\), so 15 is not correct. Exam tip: When asked for the difference between two terms, subtract the stated terms directly to verify your answer.
Frequently asked questions
What is the correct answer to this question?
30
Why is this the correct answer?
The AP is 20, 35, 50, 65, \ldots, where \(a_1=20\) and \(a_3=50\). Therefore, \(a_3-a_1=50-20=30\). The common difference is \(d=15\), but the difference between the first and third terms is \(2d=30\), so 15 is not correct. Exam tip: When asked for the difference between two terms, subtract the stated terms directly to verify your answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Introduction to APs and common difference..
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