#137 Let S be the set of positive integers defined by Basis step

Let S be the set of positive integers defined by Basis step - Math

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Let S be the set of positive integers defined by Basis step: 1 e S Recursive step: If n E S, then 3n + 2 E S and n2 e S a) Show that if n E S, then n = 1 (mod 4) b) Show that there exists an integer m = 1(mod 4) that does not belong to S.
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