HOC24
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a, Lấy A-B= 1+2+....+2^49+2^50 - 2^51= 1+2+....+ 2^49+ 2^50 . ( 1-2)= 1+2+.....+ 2^49 - 2^50= 1+2+....+2^48 - 2^49............= 1+2+2^2-2^3= 1+2-2^2= 1-2 = -1 <0 ===> A<B
A=1+2+3+4+5+...+99+100
A=(1+100).100:2=101.50=5050
B=1/2+1/6+1/12+1/20+1/30+...+1/9900
B=1/1.2+1/2.3+1/3.4+1/4.5+1/5.6+....+1/99.100
B=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+...+1/99-1/100
B=1-1/100=99/100
Goi quang duong AB la x (km) dk (x>0) Thoi gian luc di \(\frac{x}{60}\) Thoi gian luc ve \(\frac{x}{50}\) Biet rang thoi gian di it hon thoi gian ve la
\(\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}\Rightarrow\frac{2x-2}{4}=\frac{3y-6}{9}=\frac{z-3}{4}=\frac{2x+3y-z-2-6+3}{4+9-4}=\frac{27}{9}=3\)
\(\Rightarrow x=\frac{3\cdot4+2}{2}=7\)
\(\Rightarrow y=\frac{3\cdot9+6}{3}=11\)
\(\Rightarrow z=3\cdot4+3=15\)
a, P + O2 -) P2O5 c, SO3 + H2O-) H2SO4 d BaO + H2O -) Ba ( OH)2 e, CaCO3 -) Cao + CO2
cau b mik chuaa hieu lam