tinh hanh cac tong sau
a.A=2+4+6+.....+2018
B=2010-2017+2016-2015+......+2-1
1+2-3-4+5+6-7-8+9+1-.........+2010-2011-2012+2013+2014-2015-2016+2017
tinh tong :S=1-2+3-4+5-6+...+2015-2016
S= 1-2 + 3-4 + 5-6+... ..+2015-2016(có 2016 số)
=(1-2) + (3-4) + (5-6) +...+(2015-2016) (có 2016:2=1008 nhóm có 2 số)
=-1 +(-1) +(-1) +...+(-1)( có 1008 số(-1))
=-1.1008
=-1008
vậy S=-1008
Cho tong T=2/2^1+3/2^2+4/2^3 +...+2016/2^2015+2017/2^2016.So sanh T voi 3
Tinh tong S=1/1×2+1/2×3+1/3×4+...+1/2014×2015+1/2015×2016
\(S=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{2015.2016}\)
\(S=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{2015}-\frac{1}{2016}\)
\(S=1-\frac{1}{2016}=\frac{2015}{2016}\)
\(S=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-........+\frac{1}{2015}-\frac{1}{2016}\)
\(S=\frac{1}{1}-\left(-\frac{1}{2}+\frac{1}{2}\right)+\left(-\frac{1}{3}+\frac{1}{3}\right)+......+\left(-\frac{1}{2015}+\frac{1}{2015}\right)-\frac{1}{2016}\)
\(S=\frac{1}{1}-\frac{1}{2016}=\frac{2015}{2016}\)
Tinh tong S=1/1×2+1/2×3+1/3×4+...+1/2014×2015+1/2015×2016
S = 1/1x2 + 1/2x3 + 1/3x4 + ... + 1/2014x2015 + 1/2015x2016
S = 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/2014 - 1/2015 + 1/2015 - 1/2016
S = 1 - 1/2016
S = 2015
\(S=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-......+\frac{1}{2015}-\frac{1}{2016}\)
\(S=\frac{1}{1}-\frac{1}{2016}=\frac{2015}{2016}\)
tinh A=1*2+2*3+3*4+4*5+...+2015*2016+2016*2017
Cách giải
A = 1.2+2.3+...+2016.2017
3A=1.2.3 + 2.3.(4-1) + .. + 2016.2017.(2018-2015)
3A = 1.2.3 + 2.3.4 - 1.2.3 + ... + 2016.2017.2018 - 2015.2016.2017
3A = 2016.2017.2018
A = 2016.2017.2018 : 3
A = 2735245632
3A=1*2*3+2*3*(4-1)+.........+2016*2017.(2018-2015)
3A=1.2.3-1.2.3+2.3.4-2.3.4+.........+2016.2017.3
3A=2016.2017.2018
KẾT QUẢ TỰ TÍNH
Cho S = 1 - 1/2 + 1/3 -1/4 +...+ 1/2015 1/2016 + 1/2017
Và P = 1/1009 + 1/2010 +....+ 1/2016 + 1/2017
Tính ( S - P )2017
Tinh tong
a) 1-2+3-4+.....+2016-2017
b) 0-2+4-6+...+2016-2018
Ai lam dc, dung minh cho 2 tick
a) 1-2+3-4+...+2016-2017
=(1-2)+(3-4)+......+(2016-2017)
= (-1)+(-1)+......+(-1)
= -1. 1009
= -1009
b) 0-2+4-6+....+2016-2018
=(0-2)+(4-6)+.....+(2016-2018)
=(-2)+(-2)+.....+(-2)
= (-2). 505
=1010
1 Tính nhanh
2015 - ( 403.5 - 2016) - 2016 + 2^2017 : 2^2015 - 2^2015:4^1007-1-3+4-5-6+11
=2015-(2015-2016)-2016+22017-2015-22015/22014-(1-4)-3-(5+6)+11
=(2015-2015)+(2016-2016)+22-2+3-3-11+11
=0+0+(4-2)+(3-3)-(11-11)
=2