Question

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 progression with common difference $d_2$, where $d_1 d_2=10$ For each $i=1,2, \ldots, 100$, let $R_l$ 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 ___

Answer 1

Answer: 18900.00