Which option represents an arithmetic progression with a = 9 and d = 3?
Answer and explanation
Correct answer: 9, 12, 15, 18, ...
For an arithmetic progression, a denotes the first term and d is the difference between any two consecutive terms. We must check both conditions, not just the starting number. In option B, the first term is 9 and the successive differences are 12 - 9 = 3, 15 - 12 = 3, and 18 - 15 = 3. Therefore it satisfies a = 9 and d = 3. Option A has d = 3 but starts with 3; option C starts with 9 but has d = 2; option D has d = 3 but starts with 12. Hence option B is the only correct choice.
Frequently asked questions
What is the correct answer to this question?
9, 12, 15, 18, ...
Why is this the correct answer?
For an arithmetic progression, a denotes the first term and d is the difference between any two consecutive terms. We must check both conditions, not just the starting number. In option B, the first term is 9 and the successive differences are 12 - 9 = 3, 15 - 12 = 3, and 18 - 15 = 3. Therefore it satisfies a = 9 and d = 3. Option A has d = 3 but starts with 3; option C starts with 9 but has d = 2; option D has d = 3 but starts with 12. Hence option B is the only correct choice.
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.
