Let l_1, l_2, , l_ 100 be consecutive terms of an arithmetic progression with common difference d_1, and let...

Question

Let l_1, l_2, , l_ 100 be consecutive terms of an arithmetic progression with common difference d_1, and let w_1, w_2, , w_ 100 be consecutive terms of another arithmetic progression with common difference d_2, where d_1d_2 = 10. For each i = 1, 2, , 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 _____.

Accepted Answer

18900

JEE Advanced 2022 Mathematics question

Solution

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