Question: In the notation of Section 10.2, let Sn = T2 + + Tn. Prove the inequalities Tn 1 + n 2 2n2

In the notation of Section 10.2, let Sn = T2 + ··· + Tn. Prove the inequalities Tn



1 + n − 2 2n2



≤ Sn ≤ Tn



1 +

1 n − 1



for all n ≥ 2.

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