Which option correctly describes I={2,8,18,32,50}?
Answer and explanation
Correct answer: Twice the squares of the first five natural numbers
Test the rule 2n² for the first five natural numbers. For n=1,2,3,4,5, the values are 2(1²)=2, 2(2²)=8, 2(3²)=18, 2(4²)=32, and 2(5²)=50. These exactly reproduce every element of I, so option A is correct. The ordinary squares give 1,4,9,16,25; the first even numbers are different, and the multiples of 2 less than 50 form a much larger set.
Frequently asked questions
What is the correct answer to this question?
Twice the squares of the first five natural numbers
Why is this the correct answer?
Test the rule 2n² for the first five natural numbers. For n=1,2,3,4,5, the values are 2(1²)=2, 2(2²)=8, 2(3²)=18, 2(4²)=32, and 2(5²)=50. These exactly reproduce every element of I, so option A is correct. The ordinary squares give 1,4,9,16,25; the first even numbers are different, and the multiples of 2 less than 50 form a much larger set.
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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