In the sequence $$b_{1}$$ ,$$b_{2}$$ ,$$b_{3}$$ ,... ,$$b

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In the sequence $$b_{1}$$ ,$$b_{2}$$ ,$$b_{3}$$ ,... ,$$b_{100}$$ , the kth term is defined by $$b_{k}$$=$$\frac{1}{k}-\frac{1}{k+1}$$ for all integers k from 1 to 100. What is the sum of the 100 terms of the sequence?

A、$$\frac{1}{10,100}$$
B、$$\frac{1}{101}$$
C、$$\frac{1}{100}$$
D、$$\frac{100}{101}$$
E、1

答案：D

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