If (7,u,19,25) are consecutive terms of an arithmetic progression, what is the value of (u)?
Answer and explanation
Correct answer: 13
Consecutive terms of an arithmetic progression have the same common difference. Here, the difference between 25 and 19 is 6, so the term immediately before 19 is 19 - 6 = 13. Therefore, u = 13. Option 12 is not correct because the difference from 12 to 19 would be 7, not the common difference 6. Exam tip: Find the difference between known consecutive terms and check it in both forward and backward directions.
Frequently asked questions
What is the correct answer to this question?
13
Why is this the correct answer?
Consecutive terms of an arithmetic progression have the same common difference. Here, the difference between 25 and 19 is 6, so the term immediately before 19 is 19 - 6 = 13. Therefore, u = 13. Option 12 is not correct because the difference from 12 to 19 would be 7, not the common difference 6. Exam tip: Find the difference between known consecutive terms and check it in both forward and backward directions.
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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