If (u, v, w) are in an arithmetic progression and (u+w=48), what is the value of (v)?
Answer and explanation
Correct answer: 24
For three consecutive terms u, v, w of an arithmetic progression, the middle term is the average of the two outer terms. Thus, 2v = u + w = 48, so v = 24. Option 22 is not correct because it would give 2v = 44. Exam tip: For any three consecutive AP terms, use middle term = (first term + third term)/2.
Frequently asked questions
What is the correct answer to this question?
24
Why is this the correct answer?
For three consecutive terms u, v, w of an arithmetic progression, the middle term is the average of the two outer terms. Thus, 2v = u + w = 48, so v = 24. Option 22 is not correct because it would give 2v = 44. Exam tip: For any three consecutive AP terms, use middle term = (first term + third term)/2.
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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