1/1 x 1/2 + 1/2 x 1/3 + 1/3 x 1/4 + ....... + 1/198 x 1/199 + 1/199 x 1/1000
= 1/1 x (1/2 + 1/2) x (1/3 + 1/3) x (1/4 + 1/4) x ....... x (1/198 + 1/198) x (1/199 + 1/199) x 1/1000
= 1/1 x 1 x 1 x 1 x ........ x 1 x 1 x 1/1000
= 1/1 x 1/1000
= 1/1000
Các câu hỏi tương tự
Tính: \(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{200}}{\frac{1}{199}+\frac{2}{198}+\frac{3}{197}+...+\frac{198}{2}+\frac{199}{1}}\)
\(\left(x-20\right)\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{200}}{\frac{1}{199}+\frac{2}{198}+\frac{3}{197}+...+\frac{198}{2}+\frac{199}{1}}=\frac{1}{2000}\)
(x-20).\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{200}}{\frac{1}{199}+\frac{2}{198}+\frac{3}{197}+...+\frac{198}{2}+\frac{199}{1}}\)=\(\frac{1}{2000}\)
Giúp mk với
cho A /\(\frac{1}{199}+\frac{2}{198}+\frac{3}{197}+...+\frac{198}{2}+\frac{199}{1}\)
cho B:\(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{200}\)
Tính A:B
tính
\(\frac{\frac{1}{2}+\frac{1}{3}+....+\frac{1}{200}}{\frac{1}{199}+\frac{2}{198}+.....+\frac{198}{1}+\frac{199}{1}}\)
tính A/B biết
A=\(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{200}\)
\(B=\frac{1}{199}+\frac{2}{198}+\frac{3}{197}+...+\frac{198}{2}+\frac{199}{1}\)
Tính bằng cách hợp lí:
a) A=\(\left(\frac{1}{1.300}+\frac{1}{2.301}+\frac{1}{3.302}+....+\frac{1}{101.400}\right):\left(\frac{1}{1.102}+\frac{1}{2.103}+\frac{1}{3.104}+...+\frac{1}{299.400}\right)\)
b) B=\(\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+....+\frac{1}{200}\right):\left(\frac{1}{199}+\frac{2}{198}+\frac{3}{197}+....\frac{198}{2}+\frac{199}{1}\right)\)
\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....+\frac{1}{200}}{\frac{1}{199}+\frac{2}{198}+...+\frac{198}{2}+\frac{199}{1}}\)
Giúp mình với bạn nào trả lời nhanh và chính xác nhất mình sẽ tích cho và hạn nộp trước 11h nhé
Tính B=\(\frac{1}{199}+\frac{2}{198}+\frac{3}{197}+....+\frac{198}{2}+\frac{199}{1}\)