If L={x:x=3n+1, n∈N, n≤4}, what is its roster form?
Answer and explanation
Correct answer: L={4,7,10,13}
Under the stated convention N={1,2,3,...}, the allowed values of n are 1, 2, 3, and 4. Substituting them into x=3n+1 gives x=4, 7, 10, and 13 respectively. The value 1 would require n=0, which is not in N under this convention. Therefore the roster form is {4,7,10,13}, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
L={4,7,10,13}
Why is this the correct answer?
Under the stated convention N={1,2,3,...}, the allowed values of n are 1, 2, 3, and 4. Substituting them into x=3n+1 gives x=4, 7, 10, and 13 respectively. The value 1 would require n=0, which is not in N under this convention. Therefore the roster form is {4,7,10,13}, so option B is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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