# MTH 213-Elementary Math

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(a) Illustrate a one-to-one correspondence between the following sets:

N = {1, 2, 3, 4,. . . , n,. . .}

F = {4, 9, 14, 19, 24,. . .}

(b) In your correspondence, what element of F corresponds to 57? Explain why.

(c) In your correspondence, what element of F corresponds to n?

• MTH 213-Elementary Math -

I see a mapping
such that n ----> 5n - 1

How is that for a hint?

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