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

If \(R_n (n \in N)\) is a rectangle of length \(I_n = \dfrac{1}{n}\

1.	If \(R_n (n \in N)\) is a rectangle of length \(I_n = \dfrac{1}{n}\), breadth \(b_n = \dfrac{1}{n+1}\), then the sum of areas of \(R_1, R_2, ...., R_{100}\) is:
A.	\(\dfrac{99}{100}\)
B.	\(\dfrac{101}{100}\)
C.	\(\dfrac{100}{101}\)
D.	\(\dfrac{100}{99}\)
Answer» D. \(\dfrac{100}{99}\)

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

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