Problem 3. Let s: N → N be the function recursively defined by: [3s(n) +1 if s(n) is odd [s(n)/2 s(1) = 7, s(n + 1) = . if s(n) is even. (a) Find s(n) for 1

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Problem 3. Let s: N →N be the function recursively defined by:
[3s(n) +1 if s(n) is odd
Ls(n)/2
s(1) = 7, s(n + 1) =
if s(n) is even.
(a) Find s(n) for 1 <n < 10.
(b) Is s injective? Justify.
(c) Is s surjective. Justify.
Transcribed Image Text:Problem 3. Let s: N →N be the function recursively defined by: [3s(n) +1 if s(n) is odd Ls(n)/2 s(1) = 7, s(n + 1) = if s(n) is even. (a) Find s(n) for 1 <n < 10. (b) Is s injective? Justify. (c) Is s surjective. Justify.
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