Show that the formula 2 + 4 + 6 + . . . + 2n = n2 + n + 2

Chapter , Problem 13.4.29

(choose chapter or problem)

Show that the formula 2 + 4 + 6 + . . . + 2n = n2 + n + 2 obeys Condition II of the Principle of Mathematical Induction. That is, show that if the formula is true for some k it is also true for k + 1. Then show that the formula is false for n = 1 (or for any other choice of n).

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