Question

Cho M= 1/15 + 1/105 + 1/315+....+1/9177. So sanh M vs 12.

Help me!

Answer 1

S=1/1.3.5 +1/3.5.7+...................+1/19.21.23 

---> 4S=4/1.3.5 + 4/ 3.5.7 +.........................+4/19.21.23 

= (1/1.3 -1/3.5 ) + ( 1/3.5 -1/3.7) +...................................+(1/... -1/21.23 ) 

= 1/1.3 -1/21.23 

= 1/3 -1/483 =160/483 

----> S = 160/483 : 4 = 160 / 1932 
(em tự rút gọn nhé! )S=1/1.3.5 +1/3.5.7+...................+1/19.21.23 

---> 4S=4/1.3.5 + 4/ 3.5.7 +.........................+4/19.21.23 

= (1/1.3 -1/3.5 ) + ( 1/3.5 -1/3.7) +...................................+(1/... -1/21.23 ) 

= 1/1.3 -1/21.23 

= 1/3 -1/483 =160/483 

----> S = 160/483 : 4 = 160 / 1932 
(em tự rút gọn nhé! )

Answer 2

M=1/1.3.5 +1/3.5.7+.....+1/19.21.23

 4M=4/1.3.5 + 4/ 3.5.7 +...+4/19.21.23

 = (1/1.3 -1/3.5 ) + ( 1/3.5 -1/3.7) +....+(1/19.21 -1/21.23 ) 

= 1/1.3 -1/21.23

 = 1/3 -1/483

=160/483

⇒ S = 160/483 : 4

= 160 / 1932

=40/438