What is the common difference of the arithmetic progression (0, 3, 6, 9, …)?
Answer and explanation
Correct answer: 3
The governing concept is that the common difference d of an arithmetic progression is the constant amount added to one term to obtain the next. For this sequence, subtract consecutive terms: 3 - 0 = 3, 6 - 3 = 3, and 9 - 6 = 3. The repeated result confirms that the progression has d = 3. Therefore option B is correct. Option A is the first term, not the change between terms. Options C and D are later terms in the sequence and do not represent the fixed increment. The fact that the sequence begins with zero does not make the common difference zero; it only identifies the first term. A difference of zero would produce a constant sequence such as 0, 0, 0, which is not the sequence given here.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
The governing concept is that the common difference d of an arithmetic progression is the constant amount added to one term to obtain the next. For this sequence, subtract consecutive terms: 3 - 0 = 3, 6 - 3 = 3, and 9 - 6 = 3. The repeated result confirms that the progression has d = 3. Therefore option B is correct. Option A is the first term, not the change between terms. Options C and D are later terms in the sequence and do not represent the fixed increment. The fact that the sequence begins with zero does not make the common difference zero; it only identifies the first term. A difference of zero would produce a constant sequence such as 0, 0, 0, which is not the sequence given here.
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.
