What is the common difference in the sequence (4x,4x+3,4x+6,\ldots)?
Answer and explanation
Correct answer: 3
To find the common difference, subtract the first term from the second term: \((4x+3)-4x=3\). Checking the next pair, \((4x+6)-(4x+3)=3\) as well. Therefore, the common difference is 3. The number 6 is part of the third term, not the common difference. Exam tip: In an AP, the difference between every pair of consecutive terms must be the same.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
To find the common difference, subtract the first term from the second term: \((4x+3)-4x=3\). Checking the next pair, \((4x+6)-(4x+3)=3\) as well. Therefore, the common difference is 3. The number 6 is part of the third term, not the common difference. Exam tip: In an AP, the difference between every pair of consecutive terms must be the same.
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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