Which option gives the correct set-builder form of S = {1, 4, 9, 16, 25}?
Answer and explanation
Correct answer: S = {n² : n ∈ ℕ, 1 ≤ n ≤ 5}
The listed elements are consecutive squares: 1 = 1², 4 = 2², 9 = 3², 16 = 4², and 25 = 5². Thus every element has the form n², where n is a natural number from 1 through 5. The correct set-builder description is S = {n² : n ∈ ℕ, 1 ≤ n ≤ 5}. The other options describe consecutive natural numbers, even numbers, or cubes.
Frequently asked questions
What is the correct answer to this question?
S = {n² : n ∈ ℕ, 1 ≤ n ≤ 5}
Why is this the correct answer?
The listed elements are consecutive squares: 1 = 1², 4 = 2², 9 = 3², 16 = 4², and 25 = 5². Thus every element has the form n², where n is a natural number from 1 through 5. The correct set-builder description is S = {n² : n ∈ ℕ, 1 ≤ n ≤ 5}. The other options describe consecutive natural numbers, even numbers, or cubes.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
