Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in the sets.{4, 16, 64, 256, ...}
A.
{ | 1, | 2, | 3, | 4, | ..., | n, | ...} |
? | ? | ? | ? | ? |
{ | 4, | 16, | 64, | 256, | ..., | 4n, | ...} |
B.
{ | 1, | 2, | 3, | 4, | ..., | n, | ...} |
? | ? | ? | ? | ? |
{ | 4, | 16, | 64, | 256, | ..., | n4, | ...} |
C.
{ | 1, | 2, | 3, | 4, | ..., | n, | ...} |
? | ? | ? | ? | ? |
{ | 4, | 16, | 64, | 256, | ..., | 42n, | ...} |
D.
{ | 1, | 2, | 3, | 4, | ..., | n, | ...} |
? | ? | ? | ? | ? |
{ | 4, | 16, | 64, | 256, | ..., | 4n, | ...} |
Answer: D
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A.
B.
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D.