tinh tong S = 1-2+3-4+...+2016-2016
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
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
\(S=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-......+\frac{1}{2015}-\frac{1}{2016}\)
\(S=\frac{1}{1}-\frac{1}{2016}=\frac{2015}{2016}\)
Cho tong gom 2016 so hang : s=1/4+2/4^2+3/4^3+4/4^4+......+20166/4^2016
tinh tong
S = 1 + 3 + 5 + ...+ 99
A = 1 + 2 + 3 + ...+100
B = 2 + 4 + 6 + ..+ 2016
*chu y : neu quy luat
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
tinh nhanh: 1^2016+2^2016+3^2016+.......+10^2016/2^2016+4^2016+6^2016+.....+20^2016
\(2^{2016}+4^{2016}+6^{2016}+...+20^{2016}=2^{2016}\left(1+2^{2016}+3^{2016}+...+10^{2016}\right)\)
Do đó:
\(A=\frac{1^{2016}+2^{2016}+3^{2016}+...+10^{2016}}{2^{2016}+4^{2016}+6^{2016}+...+20^{2016}}=\frac{1}{2^{2016}}\)
1)S=1+22+23+24+26+.....+22016.so sanh S vs 22018
2)tinh tong:\(M=\frac{4}{1.2}+\frac{8}{2.3}+\frac{14}{3.4}+.....+\frac{9902}{99.100}\)
a, S< 22018
b, M=1.2+2/1.2+2.3+2/2.3+.....+99.100+2/99.100
M= 2+2+2+2+2+2+.....+2
M=100 vì có 50 số 2
Tinh tong A=1+4+7+10+....+x biet x la so hang thu 2016 cua tong
ta có công thức x-1/3+1=2016
vây x= 2016-1*3+1=6046
nhớ kết bạn nha
6046
ai tk mk
mk tk lại
mk hứa
yên tâm
thank nhiều