1/5.7+1/7.9+1/99.11+...+1/13.15
=1/2(2/5.7+2/7.9+...+2/13.15)
=1/2.(1/2-1/15)
=1/2.13/30
=13/60
ta có :
B = 1 / 5 x 7 + 1 / 7 x 9 + 1 / 9 x 11 + ... + 1 / 13 x 15
2 x B = 2 / 5 x 7 + 2 / 7 x 9 + 2 / 9 x11 + ... + 2 / 13 x 15
2 x B = 1/5 - 1/7 + 1/7 - 1/9 + 1/9 - 1/11 + ... + 1 /13 - 1/15
2 x B = 1/5 - 1/15
2 x B = 3 / 15 - 1/15
2 x B = 2/15
B = 2 / 15 : 2
B = 1/15
vậy B = 1/15
B=1/5.7 +1/7.9 +1/9.11+...+1/13.15
= 1/2 .( 2/5.7+2/7.9+....+2/13.15)
=1/2 . ( 1/5-1/7+1/7-1/9+...+1/13-1/15)
=1/2. (1/5-1/15)
=1/2. 2/15 = 1/15
nha ^^