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- FullSimplify[(a[n] + b[n])/2 >= 2/(1/a[n] + 1/b[n]), {a[n] > 0, b[n] > 0}]
- FullSimplify[(a[n] + b[n])/2 > 0, {a[n] > 0, b[n] > 0}]
- FullSimplify[2/(1/a[n] + 1/b[n]) > 0, {a[n] > 0, b[n] > 0}]
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