2. Using the mathematical induction, prove Σ (k² + 2k-2) = n(2n² + 9n - 5), k=1

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

Prove by induction that n2n.

In Exercise , use generalized induction to prove the given statement. for all integers