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 \(\_\_\_\_\). - Math Practice Question | divineJEE