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(1+3+5+....+2011)x(125125x127-127127x125)
Ta có:
=(125125x127-127127x125)
=1001x125x127-1001x127x125
=0
Vậy:(1+3+5+....+2011)x(125125x127-127127x125)=(1+3+5+....+2011)x0=0
Đề bị sai hay sao vậy, phải là : (1+3+5+7+...+2011)*(125125127-127127*125) mới đúng
\(\left(1+3+5+7+...+2007+2009+2011\right)\left(125125\cdot127-127127\cdot125\right)\)
\(=\left(1+3+5+...+2007+2009+2011\right)\left(125\cdot127\cdot1001-127\cdot125\cdot1001\right)\)
\(=\left(1+3+5+...+2007+2009+2011\right)\cdot0\)
\(=0\)
=( 1 + 3 + 5 + ............. + 2007 + 2009 + 2011 ) x 0
= 0
HỌC TỐT
K VÀ KN NẾU CÓ THỂ
Đề bài có lẽ sai thừa số thứ hai phải là 125125x127-127127x125
Khi đó thừa số thứ hai sẽ là
125x1001x127-127x1001x125=0
Tích trên sẽ bằng 0
a.
(1 + 3 + 5 + ... + 2007 + 2009 + 2011) x (125125 x 127 - 127127 x 125)
= (1 + 3 + 5 + ... + 2007 + 2009 + 2011) x 0
= 0
b.
\(\frac{2006\times125+1000}{126\times2006-1006}=\frac{2006\times125+1000}{125\times2006+1\times2006-1006}=\frac{2006\times125+1000}{125\times2006+1000}=1\)
a,
( 1+3+5+7+…+2003+2005) x (125 125 x 127 – 127 127 x 125)
= ( 1+3+5+7+…+2003+2005) x (125 x 1001 x 127 – 127 x 1001x 125)
= ( 1+3+5+7+…+2003+2005) x 0 = 0
Ta có:
(1+3+5+...+2005)x(125125x127-127127x125)
=(1+3+5+...+2005)x(125x1001x127-127x1001x125)
=(1+3+5+...+2005)x0
=0
a+b=10
a+c=25
b+c=18
a+b=10
a+c=25
b+c=18
a+b=10
a+c=25
b+c=18
a+b=10
a+c=25
b+c=18
a+b=10
a+c=25
b+c=18
a+b=10
a+c=25
b+c=18
a+b=10
a+c=25
b+c=18
a) ( 1 + 3 + 5 + 7 + ....... + 2007 + 2009 + 2011 ) x ( 125125 x 127 - 127127 x 125 )
vì ( 125125 x 127 - 127127 x 125 ) =[125125 x (125+2)] - 127127 x 125 ) =>125125 x (125+2)=125.125125+125125.2=125125.125+250250=125125.125+125.2002=125.(125125+2002)=125.127127
=> ( 125125 x 127 - 127127 x 125 )=127127.125-127127.125=0
=> (1 + 3 + 5 + 7 + ....... + 2007 + 2009 + 2011 ) x ( 125125 x 127 - 127127 x 125 ) =0
a) ( 1 + 3 + 5 + 7 + ....... + 2007 + 2009 + 2011 ) x ( 125125 x 127 - 127127 x 125 )
= ( 1 + 3 + 5 + 7 + ....... + 2007 + 2009 + 2011 ) x 0
= 0
b, \(\frac{1}{3}\)+ \(\frac{1}{15}\)+ \(\frac{1}{35}\)+ \(\frac{1}{63}\)+ \(\frac{1}{99}\)+ \(\frac{1}{143}\)+ \(\frac{1}{195}\)
= \(\frac{1}{3}\)+ \(\frac{1}{3}\)- \(\frac{1}{5}\)+ \(\frac{1}{5}\)- \(\frac{1}{7}\)+\(\frac{1}{7}\)- \(\frac{1}{9}\)+...........+\(\frac{1}{13}\)- \(\frac{1}{15}\)
= \(\frac{1}{3}\)- \(\frac{1}{15}\)
= \(\frac{4}{15}\)
( 1 + 3 + 5 + 7 +... + 2003 + 2005 ) x ( 125125 x 127 - 127127 x 125 )
= ( 1 + 3 + 5 + 7 + ... + 2003 + 2005 ) x ( 125 x 1001 x 127 - 127 x 1001 x 125 )
= ( 1 + 3 + 5 + 7 + ... + 2003 + 2005 ) x 0
= 0
~ Thiên Mã ~
lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
[1+3+5+7+...+2011] x [125125 x 127-127127 x 125]
=2028096 x0
=0
Vay phep tinh tren co ket qua = 0
[ 1 + 3 + 5 + 7 + ... + 2011 + 2013 ] x [ 125125 x 127 - 127127 x 125 ]
= [ ( 2013 + 1 ) x 1007 : 2 ] x [ ( 125 x 1001 ) x 127 - ( 127 x 1001 ) x 125 ]
= 1008007 x [ 125 x 1001 x 127 - 127 x 1001 x 125 ]
= 1008007 x [ ( 125 - 125 ) x ( 127 - 127 ) x ( 1001 - 1001 ) ]
= 1008007 x [ 0 x 0 x 0 ]
= 1008007 x 0
= 0
Theo đề ta có:
\(\frac{\left[\left(2013-1\right):1+1\right]x\left(2013+1\right)}{2}\)x \(\left(125125x127-127x1001\right)\)= \(\frac{2013x2014}{2}\)x \(127x\left(125125-1001\right)\)= 2027091 x 127 x 124124 .
Số lớn quá,bn tự tính nha.
(1 + 3 + 5 + 7 + ...... + 2011 + 2013) x (125125 x 127 - 127127)
Gọi (1 + 3 + 5 + 7 + ...+ 2011 + 2013) là A
(125125 x 127 - 127127) là B . Ta có:
A là dãy cách đều 2 đơn vị
Số số hạng của A là:
(2013 - 1) : 2 + 1 = 1007 (số)
Tổng của A là:
(1 + 2013) x 1007 : 2 = 1014049
B = 125125 x 127 - 127127
B = 15890875 - 127127
B = 15763748
Suy ra (1 + 3 + 5 + 7 + .......+ 2011 + 2013) x (125125 x 127 - 127127) = 1014049 x 15763748 = 1.59852129x1013