If (48,42,q,30,\ldots) is an arithmetic progression, what is the value of (q)?
Answer and explanation
Correct answer: 36
In an arithmetic progression, the difference between consecutive terms is constant. Here, the common difference is \(d=42-48=-6\). Therefore, the third term is \(q=42+(-6)=36\). Checking further, \(36-6=30\), which matches the given next term. If 34 were chosen, the differences would be \(-6\) and then \(-8\), so it would not form an AP. Exam tip: For a missing-term question, verify the common difference using terms on both sides.
Frequently asked questions
What is the correct answer to this question?
36
Why is this the correct answer?
In an arithmetic progression, the difference between consecutive terms is constant. Here, the common difference is \(d=42-48=-6\). Therefore, the third term is \(q=42+(-6)=36\). Checking further, \(36-6=30\), which matches the given next term. If 34 were chosen, the differences would be \(-6\) and then \(-8\), so it would not form an AP. Exam tip: For a missing-term question, verify the common difference using terms on both sides.
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..
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
