c=(1+1/3*1)+(1+1/2*4).....(1+1/2014*2015)
tinh c
ai nhanh minh tick cho
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
Tính A/B biết
A= 1/2+1/3+1/4+.....+1/2019
B = 2016/1+2015/2+2014/3+....+1/2016
Ai nhanh mik cho 3 tick
1 phần 1*2*3 +1 phần 2*3*4+.......+1 phan 2014*2015*2016.so sanh voi 1
AI GIAI DUOC MINH TICK CHO
BAi 1
a) hay so sanh
\(\frac{2014}{2015}+\frac{2015}{2014}\)va \(\frac{666665}{333333}\)
b)tinh
A=\(\left(1-\frac{1}{28}\right)\left(1-\frac{1}{36}\right)\left(1-\frac{1}{45}\right)...\left(1-\frac{1}{1326}\right)\)
cac ban lam nhanh nhe minh dang can gap xong minh tick cho
A)=vậy\(\frac{2014}{2015}+\frac{2015}{2014}>\frac{666665}{333333}.\)
bạn nhé
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
\(S=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-......+\frac{1}{2015}-\frac{1}{2016}\)
\(S=\frac{1}{1}-\frac{1}{2016}=\frac{2015}{2016}\)
1*2*3*...*2015-1*2*3*4*...*2014-1*2*3*...*2013*2014^2 tính nhanh
\(1.2.3....2015-1.2.3....2014-1.2.3....2013.2014^2\)
\(=1.2.3...\left(2014+1\right)-1.2.3...\left(2014+1\right)\)
\(=0\)
bạn làm thế là sai rồi
có 3 con 2014 cơ mà
Cho A=(1/2+1/3+...+1/97+1/98).2014^2015.Chung to A chia het cho 11.ai giai som nhat minh tick cho
Tinh nhanh
(2013 nhan 2014 nhan 2015) nhan (1-1/3-1/2-1/6)
\((2013\cdot2014\cdot2015)\cdot(1-\frac{1}{3}-\frac{1}{2}-\frac{1}{6})\)
\(=(2013\cdot2014\cdot2015)\cdot(\frac{6}{6}-\frac{2}{6}-\frac{3}{6}-\frac{1}{6})\)
\(=(2013\cdot2014\cdot2015)\cdot(\frac{6-2-3-1}{6})\)
\(=(2013\cdot2014\cdot2015)\cdot0=0\)
( 2013 × 2014 × 2015 ) × ( 1 - 1/3 - 1/2 - 1/6 )
= ( 2013 × 2014 × 2015 ) × ( 6/6 - 2/6 - 3/6 - 1/6)
= ( 2013 × 2014 × 2015 ) × 6 - 2 - 3 - 1/6
= ( 2013 × 2014 × 2015 ) × 0
= 0
(2013x2014x2015)x(1-1/3-1/2/-1/6)
=(2013x2014x2015)x(2/3-1/2-1/6)
=(2013x2014x2015)x(4/6-3/6-1/6)
=(2013x2014x2015)x(1/6-1/6)
=(2013x2014x2015)x0
=0