Suppose that Sn = (n + 2)(n – 1) is (incorrectly) proposed as a formula for
2 + 4 + ∙∙∙∙+ 2n.
(a) Show that the Inductive Step is satisfied but that the Basis Step fails.
(b) If S'n is an arbitrary expression that satisfies the Inductive Step, what form must S'n assume?
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