What is the value of d in the sequence (24, 29, 34, 39, ...)?
Answer and explanation
Correct answer: 5
In an arithmetic progression, the common difference d is found by subtracting one term from the next consecutive term. Using the first two terms gives d = 29 - 24 = 5. The other pairs confirm the same result: 34 - 29 = 5 and 39 - 34 = 5. Therefore the sequence increases by 5 at every step, and option B is correct. Option A is one less than the actual difference, option C does not arise from any consecutive subtraction in the displayed sequence, and option D is the difference between neither adjacent pair. The calculation must use consecutive terms rather than the first and last terms.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
In an arithmetic progression, the common difference d is found by subtracting one term from the next consecutive term. Using the first two terms gives d = 29 - 24 = 5. The other pairs confirm the same result: 34 - 29 = 5 and 39 - 34 = 5. Therefore the sequence increases by 5 at every step, and option B is correct. Option A is one less than the actual difference, option C does not arise from any consecutive subtraction in the displayed sequence, and option D is the difference between neither adjacent pair. The calculation must use consecutive terms rather than the first and last terms.
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.
