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If $$R_n (n \in N)$$ is a rectangle of length $$I_n = \frac{1}{n}$$, breadth $$b_n = \frac{1}{n + 1}$$, then the sum of areas of $$R_1, R_2, ........ R_{100}$$ is:
$$\frac{99}{100}$$
$$\frac{101}{100}$$
$$\frac{100}{101}$$
$$\frac{100}{99}$$
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