Which set-builder form correctly represents {1,4,9,16,25}?
Answer and explanation
Correct answer: {x:x=n², n∈N, 1≤n≤5}
Each listed element is a square of a consecutive natural number: 1=1², 4=2², 9=3², 16=4², and 25=5². Therefore the rule x=n² with 1≤n≤5 produces exactly the given set, so option A is correct. Option B gives even numbers, C gives 4 through 8, and D gives multiples of 3.
Frequently asked questions
What is the correct answer to this question?
{x:x=n², n∈N, 1≤n≤5}
Why is this the correct answer?
Each listed element is a square of a consecutive natural number: 1=1², 4=2², 9=3², 16=4², and 25=5². Therefore the rule x=n² with 1≤n≤5 produces exactly the given set, so option A is correct. Option B gives even numbers, C gives 4 through 8, and D gives multiples of 3.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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