Choose the correct statement for the set {2n : n ∈ ℕ}.
Answer and explanation
Correct answer: It is an infinite set
Taking n = 1, 2, 3, … produces the elements 2, 4, 6, 8, … . For every natural number n, another even number 2n can be produced, so the list never terminates. Repetition does not occur for different natural values of n. Hence the set contains infinitely many elements and is an infinite set. Option C is correct.
Frequently asked questions
What is the correct answer to this question?
It is an infinite set
Why is this the correct answer?
Taking n = 1, 2, 3, … produces the elements 2, 4, 6, 8, … . For every natural number n, another even number 2n can be produced, so the list never terminates. Repetition does not occur for different natural values of n. Hence the set contains infinitely many elements and is an infinite set. Option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
