We give an expression describing the number that corresponds to the natural number n. Use this expression to describe a one-to-one correspondence between the natural numbers and one of its subsets.4n - 1

A.

1,2, 3,  4, 5, ...,  n, ...
?? ? ? ? ?
2, 6, 10, 14, 18 ...,  4n - 1, ...

B.
1,2, 3,  4, 5, ...,  n, ...
?? ? ? ? ?
1, 5, 9, 13, 17 ...,  4n - 1 , ...

C.
1,2, 3,  4, 5, ...,  n, ...
?? ? ? ? ?
3, 7, 11, 15, 19 ...,  4n, ...

D.
1,2, 3,  4, 5, ...,  n, ...
?? ? ? ? ?
3, 7, 11, 15, 19 ...,  4n - 1, ...


Answer: D

Mathematics

You might also like to view...

Find an equation in the form y = Acos x or y = Asin x that represents the given graph.

A. y = -2sin x B. y = -2cos x C. y = 2sin x D. y = 2cos x

Mathematics

Use inductive reasoning to predict the next line in the pattern. Then perform the arithmetic to determine whether your conjecture is correct.20 - 9 = 11200 - 89 = 1112000 - 789 = 1211

A. 20,000 - 6,789 = 193,211 B. 200,000 - 6,789 = 13,211 C. 20,000 - 6,789 = 13,211 D. 2000 - 6,789 = 13,211

Mathematics

Determine whether the improper integral converges or diverges.

A. Diverges B. Converges

Mathematics

Provide an appropriate response. Explain how the sign of the second and third terms affects the signs within each of the binomial factors.

What will be an ideal response?

Mathematics