Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the natural numbers and the given set. Be sure to indicate the general correspondence.{0, 3, 6, 9, 12, ...}
A.
1, | 2, | 3, | 4, | ..., | n, | ... |
? | ? | ? | ? | ? |
0, | 3, | 6, | 9, | ..., | 3n - 3, ... |
B.
1, | 2, | 3, | 4, | ..., | n, | ... |
? | ? | ? | ? | ? |
0, | 3, | 6, | 9, | ..., | 3n, | ... |
C.
1, | 2, | 3, | 4, | ..., | n, | ... |
? | ? | ? | ? | ? |
0, | 3, | 6, | 9, | ..., | 3n - 1, ... |
D.
1, | 2, | 3, | 4, | ..., | n, | ... |
? | ? | ? | ? | ? |
0, | 3, | 6, | 9, | ..., | 3n + 3, ... |
Answer: A
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