Question: Continuing Problem 5, show that 2 nk 0 holds for all k and n if 2 1k 0 holds initially for all k.

Continuing Problem 5, show that σ2 nk ≥ 0 holds for all k and n if

σ2 1k ≥ 0 holds initially for all k. If all σ2 1k > 0, show that all σ2 nk > 0.

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