Which option correctly represents the set N = {5, 10, 15, 20, …}?
Answer and explanation
Correct answer: N = {x : x = 5n, n ∈ ℕ}
The listed elements 5, 10, 15, 20, and so on are precisely the positive multiples of 5. Every positive multiple of 5 can be written as x = 5n, where n belongs to the natural numbers. The expression 5 + n gives consecutive numbers after 5, while 5ⁿ gives powers of 5, not all multiples. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
N = {x : x = 5n, n ∈ ℕ}
Why is this the correct answer?
The listed elements 5, 10, 15, 20, and so on are precisely the positive multiples of 5. Every positive multiple of 5 can be written as x = 5n, where n belongs to the natural numbers. The expression 5 + n gives consecutive numbers after 5, while 5ⁿ gives powers of 5, not all multiples. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
