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Use generalized induction and Exercise 43 to prove that n22n for all integers n5. (In connection with this result, see the discussion of counterexamples in the Appendix.) 1+2n2n for all integers n3
Given the recursively defined sequence a1=1,a2=4, and an=2an1an2+2, use complete induction to prove that an=n2 for all positive integers n.
Prove by induction that n2n.
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