Describe a one-to-one correspondence between the given set and one of its proper subsets. For example, if we gave you the set {3, 5, 7, 9, 11, ...}, the nth term is 2n +1. You could then write the correspondence by matching the elements of {3, 5, 7, 9, 11, ...} with the elements of the subset {5, 7, 9, 11, 13, ...}. The general correspondence would match 2n + 1 with 2n + 3.{6, 8, 10, 12, ...}
A.
6, | 8, | 10, | 12, ..., | 2n + 8, | ... |
? | ? | ? | ? | ? |
8, | 10, | 12, | 14, ..., | 2n + 6, | ... |
B.
6, | 8, | 10, | 12, ..., | 2n + 5, | ... |
? | ? | ? | ? | ? |
8, | 10, | 12, | 14, ..., | 2n + 7, | ... |
C.
6, | 8, | 10, | 12, ..., | 2n + 4, | ... |
? | ? | ? | ? | ? |
8, | 10, | 12, | 14, ..., | 2n + 6, | ... |
D.
6, | 8, | 10, | 12, ..., | 2n + 4, | ... |
? | ? | ? | ? | ? |
7, | 9, | 11, | 13, ..., | 2n + 6, | ... |
Answer: C
Mathematics
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