Question

C = { 1 - 1/4 } . { 1- 1/9 } . { 1 - 1/16 } .{1 - 1/25 }

 

Answer 1

=> C = 3/4 . 8/9 . 15/16 . 24/25

=> C = 3.4.15.24/4.9.16.25

=> C = 1.2.3.6/1.2.4.5 = 3.6/4.5 = 18/20 

Answer 2

Sửa lại dấu chia thành dấu nhân thì bài toán mới đúng!

\(C=\left(1-\frac{1}{4}\right).\left(1-\frac{1}{9}\right).\left(1-\frac{1}{16}\right).\left(1-\frac{1}{25}\right)\)

\(C=\frac{3}{4}.\frac{8}{9}.\frac{15}{16}.\frac{24}{25}\)

\(C=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.\frac{4.6}{5.5}\)

\(C=\frac{1.2.3.4}{2.3.4.5}.\frac{3.4.5.6}{2.3.4.5}=\frac{1}{5}.\frac{6}{2}=\frac{3}{5}\)

Answer 3

C=3/5

Answer 4

=> C = 3/4 . 8/9 . 15/16 . 24/25

=> C = 3.4.15.24/4.9.16.25

=> C = 1.2.3.6/1.2.4.5 = 3.6/4.5 = 18/20 

Answer 5

C= 18/20

Answer 6

=> C = 3/4 . 8/9 . 15/16 . 24/25

=> C = 3.4.15.24/4.9.16.25

=> C = 1.2.3.6/1.2.4.5 = 3.6/4.5 = 18/20