If A={x:x=2n-1, n∈N, n≤5}, what is its roster form?
Answer and explanation
Correct answer: A={1,3,5,7,9}
Because n is a natural number and n≤5, take n=1, 2, 3, 4, and 5. Substitution in x=2n−1 gives x=1, 3, 5, 7, and 9 respectively. Thus the roster form is A={1,3,5,7,9}, so option A is correct. Option C uses 2n instead of 2n−1, while B and D use an incorrect starting value or shift.
Frequently asked questions
What is the correct answer to this question?
A={1,3,5,7,9}
Why is this the correct answer?
Because n is a natural number and n≤5, take n=1, 2, 3, 4, and 5. Substitution in x=2n−1 gives x=1, 3, 5, 7, and 9 respectively. Thus the roster form is A={1,3,5,7,9}, so option A is correct. Option C uses 2n instead of 2n−1, while B and D use an incorrect starting value or shift.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.
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