If (8,m,20) are three consecutive terms of an arithmetic progression, what is (m)?
Answer and explanation
Correct answer: 14
For three consecutive terms of an arithmetic progression, the middle term is the average of the first and third terms. Thus, \(m=\frac{8+20}{2}=14\). Therefore, 14 is correct. If 12 or 15 is chosen, the common differences on the two sides will not be equal. Exam tip: for consecutive AP terms \(a,b,c\), use \(2b=a+c\).
Frequently asked questions
What is the correct answer to this question?
14
Why is this the correct answer?
For three consecutive terms of an arithmetic progression, the middle term is the average of the first and third terms. Thus, \(m=\frac{8+20}{2}=14\). Therefore, 14 is correct. If 12 or 15 is chosen, the common differences on the two sides will not be equal. Exam tip: for consecutive AP terms \(a,b,c\), use \(2b=a+c\).
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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