Transcribed Image Text: Recall the successor function s: N → N given by the rule 8 (n) = n + 1 for any n e

Transcribed Image Text: Recall the successor function
s: N → N
given by the rule
8 (n) = n + 1
for any n e N.
a. Compute s (s (17)).
s (s (17)) = s(
b. Let n, m e N such that s (s (n)) :
= s (m). Which one of the following is true?
On m
c. Let
F: N → IR
be a function such that F (0) = 7 and
F(s (n)) = 1+F (n)
for any n e N.
Find F (1) and F (2).
F (1) =
F (2) =
Find a general rule for the function F:
F (n.) =
for any n e N.

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