If the sequence is (x, x+5, x+10,\ldots), what is the common difference?
Answer and explanation
Correct answer: 5
The common difference is found by subtracting one term from the next consecutive term. Here,
\((x+5)-x=5\), so the common difference is 5. Option D, \(x+5\), is a term of the sequence, not the common difference. Exam tip: In an AP, the difference between every pair of consecutive terms remains constant.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The common difference is found by subtracting one term from the next consecutive term. Here,
\((x+5)-x=5\), so the common difference is 5. Option D, \(x+5\), is a term of the sequence, not the common difference. Exam tip: In an AP, the difference between every pair of consecutive terms remains constant.
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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