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

Question

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?

Answer 1

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

How is that for a hint?