Mathematics
Let \(l_{1},l_{2},\ldots,l_{100}\) be consecutive terms of an
arithmetic progression with common difference \(d_{1}\), and let
\(w_{1},w_{2}\), \(\ldots,w_{100}\) be consecutive terms of another
arithmetic progressionwith common difference \(d_{2}\), where
\(d_{1}d_{2} = 10\). For each \(i = 1,2,\ldots,100\), let \(R_{i}\) be
a rectangle with length \(l_{i}\), width \(w_{i}\) and area
\(A_{i}\).
If \(A_{51} - A_{50} = 1000\), then the value of \(A_{100} - A_{90}\)
is
\(\_\_\_\_\).
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