Evaluate ∑limits_{k=1}^{100}{{ [ 4-{{((2)/(100)k)}^2} ](2)/(100) }}


Question: #13: Evaluate

k=1100{[4(2100k)2]2100}\sum\limits_{k=1}^{100}{\left\{ \left[ 4-{{\left( \frac{2}{100}k \right)}^{2}} \right]\frac{2}{100} \right\}}

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