a = (1 -1/2) x (1-1/3) x (1-1/4) x...x(1-1/2014) x(1-1/2015) = ?
a, x+1/2013+x+1/2014+x+1/2015=x+1/2016+x+1/2017
b,x-1/2013+x-2/2014+x-3/2015=x-4/2016-2
a = (1 -1/2) x (1-1/3) x (1-1/4) x...x(1-1/2014) x(1-1/2015) = ?
\(A=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\cdot...\cdot\left(1-\frac{1}{2015}\right)=\frac{1}{2}\cdot\frac{2}{3}\cdot...\cdot\frac{2014}{2015}=\frac{1\cdot2\cdot3\cdot...\cdot2014}{2\cdot3\cdot...\cdot2014\cdot2015}=\frac{1}{2015}\)
so sánh A= 1/1 x 2 x 3 + 1/2 x 3 x 4 + 1/3 x 4 x 5 + ...+ 1/ 2014 x 2015 x 2016 với 1/4
2A=2/1.2.3 + 2/2.3.4 + 2/3.4.5 + ...+2/2014.2015.2016
Ta có: 2/1.2.3=1/1.2-1/2.3; 2/2.3.4=1/2.3-1/3.4; 2/3.4.5=1/3.4-1/4.5; ....; 2/2014.2015.2016=1/2014.2015-1/2015.2016
=> 2A=1/1.2-1/2015.2016
=> 2A < 1/2 => A < 1/4
a = (1 -1/2) x (1-1/3) x (1-1/4) x...x(1-1/2014) x(1-1/2015) = ?
cơ hội hiếm
Tính nhanh A = ( 1 - 1/2 ) x ( 1 - 1/3 ) x ( 1 - 1/4 ) x...... x ( 1 - 1/2014 ) - ( 1 - 1/2015 )
=1/2 x 2/3 x 3/4 x 4/5 x 5/6 x.....x2013/2014 - 2014/2015
=1/2014 - 2014/2015
=1/2015
A = 1/1 x 2 + 1/2 x 3 + 1/3 x 4 +...+ 1/2014 x 2015
A = ?
/ có nghĩa là phần
A = 1/1.2 + 1/2.3 + 1/3.4 +.....+1/2014.2015
A = 1/1+( -1/2 + 1/2)+ (-1/3 +1/3) +( -1/4 + 1/4)+ -1/5 +............... 1/2014 + -1/ 2015
A = 1/1 + -1 /2015
A = 2015/2015 + -1 /2015 = 2014/2015.
BÀi giải
A= 1/1 x 2+ 1/2 x 3+1/3 x 4 +........+ 1/2014 x 2015
A= 1/1 - 1/2 + 1/2 - 1/3 +1/3 - 1/4 + 1/4 -........+ 1/2014 - 1/2015
A= 1/1 - 1/2015
A=2015/2015 - 1/2015
A= 2014/2015
vẽ cho mk bài nay nha hkadjkslf
a = (1 -1/2) x (1-1/3) x (1-1/4) x...x(1-1/2014) x(1-1/2015) = ?
tinh nhanh bieu thuc sau
a) x^6-20x^5-20x^4-20x^4-20x^3-20x^2-20x+1992 voi x= 21
b)x^7-26x^6+27x^5-47x^4-77x^3+50x^2+x+1989 tai x = 25
c)4029-2015x+2015x^2-....+2015x^2014-x^2015 tai x= 2014
d)A= (x-1/x-2015+x-2/x-2014+x-3/x-2013+....+x-2014/x-2+x-2015/x-1):(1/2 +1/3+1/4+....+1/2016) tai x=2016 dau / o day la phan do nha!!
xin nho cac ban giai giup cho minh! cam on nhieu!!!!!!!! minh dang can ket qua gap
(1-1/2) x (1-1/3) x (1 -1/4) x.....x (1-1/2014) x ((1-1/2015) x (1-1/2016)