For n Z+, let S(n) be the open statement Show that the truth of S(k) implies the

For n ˆˆ Z+, let S(n) be the open statement

Show that the truth of S(k) implies the truth of S (k + 1) for all k ˆˆ Z+. Is S(n) true for all n ˆˆ Z+?

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i = (n + ( 1 /2))2