ta có: 1/1.2 - 1/2.3 = 3 - 1/1.2.3 = 2/1.2.3;
1/2.3 - 1/3.4 = 4 - 2/2.3.4 = 2/2.3.4;....
=> 1/1.2.3 = 1/2 ( 1/1.2 - 1/2.3);
1/2.3.4 = 1/2.(1/2.3 - 1/3.4);...
do đó: M = 1/2 ( 1/1.2 - 1/2.3 + 1/2.3 - 1/3.4 +..............+ 1/10.11 - 1/11.12
= 1/2.( 1/2 - 1/11.12)
= 1/2.(1/2 - 1/1/11.12)
= 1/2.65/132
= 65/264
tk đi nhé đúng 100% lun
Ta có: M = 1/1.2.3 + 1/2.3.4 + 1/3.4.5 + ... + 1/10.11.12
= 1/2.(1/1.2 - 1/2.3) + 1/2.(1.2.3 - 1/3.4) + 1/2.(1/3.4 - 1/4.5) + ... + 1/2.(1/10.11 - 1/11.12)
= 1/2.(1/1.2 - 1/2.3 + 1/2.3 - 1/3.4 + 1/3.4 - 1/4.5 + ... + 1/10.11 - 1/11.12)
= 1/2.(1/1.2 - 1/11.12) = 1/2.(1/2 - 1/132) = 1/2 . 65/132 = 65/264
k mình nha