Question

C = \(\frac{1}{1.6}\)+ \(\frac{1}{6.11}\)+ \(\frac{1}{11.16}\)+ ........+ \(\frac{1}{96.101}\)

Giải dùm mik chút nhoa hôn hôn

Answer 1

\(C=\frac{1}{5}\left(1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}+...+\frac{1}{96}-\frac{1}{101}\right)\)

\(C=\frac{1}{5}\left(1-\frac{1}{101}\right)\)

\(C=\frac{1}{5}.\frac{100}{101}=\frac{20}{101}\)

Answer 2

\(5C=\frac{5}{1.6}+\frac{5}{6.11}+\frac{5}{11.16}+...+\frac{5}{96.101}\)

\(5C=1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+...+\frac{1}{96}-\frac{1}{101}\)

\(5C=1-\frac{1}{101}\)

\(C=\frac{100}{\frac{101}{5}}\)

Answer 3

bổ sung 20/101

Answer 4

C=5/1*6+5/6*11+...+5/96*101

C=(1-1/6+1/6-1/11+1/11-1/16+...++1/96-1/101)*1/5

C=(1-1/101)*1/5

C=maaysbanj tự tính nha

mà đây là toán lớp  6 mà

Answer 5

\(C=\frac{1}{5}.\left(1-\frac{1}{6}+....+\frac{1}{96}-\frac{1}{101}\right)\)

\(C=\frac{1}{5}.\left(1-\frac{1}{101}\right)\)

\(C=\frac{1}{5}.\frac{100}{101}=\frac{100}{505}\)

mk nhanh nhất

Answer 6

ta có ;

5C=5/1.6+5/6.11=...+5/96.101

ta thấy:5/1.6=1/1-1/6

           5/6.11=1/6-1/11.....5/96.101=1/96-1/101

cộng vế vs vế ta được 1/1-1/6=1/6-...-1/96+1/96-1/101=1-1/101=100/101=>C=20/102