If the arithmetic progression is (b,b+5,b+10,b+15,\ldots), what is the common difference?
Answer and explanation
Correct answer: 5
The common difference of an arithmetic progression is the difference between two consecutive terms. Here, subtracting the first term from the second gives \((b+5)-b=5\). Therefore, the common difference is 5. The value 10 is the difference between the third and first terms, not the common difference. Exam tip: To find the common difference, subtract a term from the term immediately after it.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The common difference of an arithmetic progression is the difference between two consecutive terms. Here, subtracting the first term from the second gives \((b+5)-b=5\). Therefore, the common difference is 5. The value 10 is the difference between the third and first terms, not the common difference. Exam tip: To find the common difference, subtract a term from the term immediately after it.
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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