If (4, h, 20) are in an arithmetic progression and (h) is the middle term, what is (h-4)?
Answer and explanation
Correct answer: \(8\)
In an arithmetic progression with three terms, the middle term equals the average of the first and third terms. Thus, \(h=\frac{4+20}{2}=12\). Therefore, \(h-4=12-4=8\). Note that \(12\) is the value of \(h\), whereas the question asks for \(h-4\). Exam tip: for three AP terms, use middle term = average of the end terms.
Frequently asked questions
What is the correct answer to this question?
\(8\)
Why is this the correct answer?
In an arithmetic progression with three terms, the middle term equals the average of the first and third terms. Thus, \(h=\frac{4+20}{2}=12\). Therefore, \(h-4=12-4=8\). Note that \(12\) is the value of \(h\), whereas the question asks for \(h-4\). Exam tip: for three AP terms, use middle term = average of the end terms.
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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