TÍNH NHANH :
A= 2^2009 - 2^2008-2^2007 -....-2^2 - 2^1 - 1
Tính nhanh :a)2/5+4/5 nhân 5/2
b)2008/2009-2009/2008+1/2009+2007/2008
Tính A= 2009/2+2008/(2^2)+2007/(2^3)+...+3/(2^2007)+2/(2^2008)+1/(2^2009)
A=(2008/1+2007/2+...........+2/2007+2/2008)/(1/2+1/3+........+1/2008+1/2009)=?
phai co cach giai
giai nhanh thi****
Tính tỉ số B A , biết: 2008 1 2007 2 ... 3 2006 2 2007 1 2008 2009 1 2008 1 2007 1 ... 4 1 3 1 2 1 = + + + + + = + + + + + + B A
Tính nhanh A=22009-22008-22007-......-22-21-1
Tinh nhanh A=2^2009-2^2008-2^2007-.....-2^2-2^1-1
A = 22009 - 22008 - 22007 - ... - 22 - 2 - 1
A = 22009 - (22008 + 22007 + ... + 22 + 2 + 1)
Đặt B = 22008 + 22007 + ... + 22 + 2 + 1
2B = 22009 + 22008 + ... + 23 + 22 + 2
2B - B = (22009 + 22008 + ... + 23 + 22 + 2) - (22008 + 22007 + ... + 22 + 2 + 1)
B = 22009 - 1
=> A = 22009 - (22009 - 1) = 22009 - 22009 + 1 = 0 + 1 = 1
tinh nhanh
A=2^2009-2^2008-2^2007-.....-2^2-2^1-1
A = 22009 - 22008 - 22007 - .... - 22 - 2 - 1
= 22009 - ( 22008 + 22007 + .... + 22 + 2 + 1 )
Đặt B = 1 + 2 + 22 + .... + 22008
2B = 2(1 + 2 + 22 + .... + 22008 )
= 2 + 22 + 23 + .... + 22009
2B - B = ( 2 + 22 + 23 + .... + 22009 ) - ( 1 + 2 + 22 + .... + 22008 )
B = 22009 - 1
=> A = 22009 - ( 22009 - 1 ) = 1
Vậy A = 1
Tính nhanh :
2009^2 - 2008^2+ 2007^2- 2006^2 +.........+ 3^2 - 2^2 + 1^2
A=(2008/1+2007/2+...........+2/2007+2/2008)/(1/2+1/3+........+1/2008+1/2009)