Which sequence starts with a = 4 and d = 6?
Answer and explanation
Correct answer: (4, 10, 16, 22, …)
An arithmetic progression is determined by its first term a and its common difference d. Starting with a = 4 means the first term must be 4. Adding d = 6 repeatedly gives the next terms: 4 + 6 = 10, 10 + 6 = 16, and 16 + 6 = 22. Therefore the sequence is (4, 10, 16, 22, …), so option A is correct. Option B begins with 6 and has difference 4, option C begins correctly but has difference 4, and option D has difference 6 but begins with 10. Checking both the first term and the repeated difference prevents selecting a partially matching sequence.
Frequently asked questions
What is the correct answer to this question?
(4, 10, 16, 22, …)
Why is this the correct answer?
An arithmetic progression is determined by its first term a and its common difference d. Starting with a = 4 means the first term must be 4. Adding d = 6 repeatedly gives the next terms: 4 + 6 = 10, 10 + 6 = 16, and 16 + 6 = 22. Therefore the sequence is (4, 10, 16, 22, …), so option A is correct. Option B begins with 6 and has difference 4, option C begins correctly but has difference 4, and option D has difference 6 but begins with 10. Checking both the first term and the repeated difference prevents selecting a partially matching sequence.
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.
