4^1+4^2+4^3+...+4^2005
2008+2007/2+2006/3+2005/4+2005/5+........................3/2006+2/2007+1/2008
1/2+1/3+1/4+1/5+....................+1/2009
2008-1/2008=2007/2008
1/2-1/2009=2007/2009
2008+2007/2+2006/3+2005/4+2005/5+........................3/2006+2/2007+1/2008
1/2+1/3+1/4+1/5+....................+1/2009
Tính:
a. M=[ (-4)3 + 43 ] : ( 1 + 3 + 5 + ... + 2005 )
b. N=1-2-3+4+5-6-7+8+...+2001+2005
\(a)M=\left[(-4)^3+4^3\right]:(1+3+5+...+2005)\)
\(M=\left[-64+64\right]\cdot(1+3+5+...+2005)\)
\(M=0\cdot(1+3+5+...+2005)\)
\(M=0\)
b, Tương tự
a)M=[(−4)3+43]:(1+3+5+...+2005)
M=\left[-64+64\right]\cdot(1+3+5+...+2005)M=[−64+64]⋅(1+3+5+...+2005)
M=0\cdot(1+3+5+...+2005)M=0⋅(1+3+5+...+2005)
M=0M=0
b, Như câu a
c = 2005/2 + 2005/3+ 2005/4+....+ 2005/2005 , d = 2006 / 1 + 2006 / 2 + 2006 / 3 +....+ 4009 / 2004 tính c-d
c = 2005/2 + 2005/3+ 2005/4+....+ 2005/2005 , d = 2006 / 1 + 2006 / 2 + 2006 / 3 +....+ 4009 / 2004 tính c-d
mik ko bít
I don't now
................................
.............
c = 2005/2 + 2005/3+ 2005/4+....+ 2005/2005 , d = 2006 / 1 + 2006 / 2 + 2006 / 3 +....+ 4009 / 2004 tính c-d
tính nhanh các tổng sau
a. 2005 x 2004 - 1004
2003x 2005+1001
b. (chú ý đây là hỗn số)
12 3/5+ (2 1/2-1 4/7)- (3 3/5- 4 4/7)
xin lỗi các bạn nha, phần a chép sai đề nên bỏ X
(2008+2007/2+2006/3+2005/4+....+2/2007+1/2008) / (1/2+1/3+1/4+...+1/2009)
Xét tử
2008+2007/2+2006/3+2005/4+ ... +2/2007+1/2008
=(1+1+1+...+1)+2007/2+2006/3+2005/4+ ... +2/2007+1/2008
= 1+ (2007/2)+1+(2006/3)+1+(2005/4)+1+ ... + (2/2007)+1+(1/2008)+1
=2009/2009+2009/2+2009/3+2009/4+ ... + 2009/2007 + 2009/2008
=2009.(1/2+1/3+1/4+ ... + 1/2007+1/2008+1/2009)
Ta có tử số bằng: 2008+2007/2+2006/3+2005/4+…..+2/2007+1/2008
(Phân tích 2008 thành 2008 con số 1 rồi đưa vào các nhóm)
= (1 + 2007/2) + (1 + 2006/3) + (1 + 2005/4) +... + (1 + 2/2007) + ( 1 + 1/2008) + (1)
= 2009/2 + 2009/3 + 2009//4 + ……. + 2009/2007 + 2009/2008 + 2009/2009
= 2009 x (1/2 + 1/3 + 1/4 + ... + 1/2007 + 1/2008 + 1/2009)
Mẫu số: 1/2 + 1/3 + 1/4 + ... + 1/2007 + 1/2008 + 1/2009
Vậy A = 2009
so sánh 2005^2017+1/2005^2008+2 và 2005^2018+4?2005^2019+3