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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