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1) KO BIẾT
2)111=3.37
1111=11.101
11111=41.271
111111=3.7.11.13.37
1111111=239.(4649) LIK NHA
\(D=\left(\dfrac{3}{111}+\dfrac{29}{17}-\dfrac{15}{59}\right).\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{6}\right)\)
\(D=\left(\dfrac{3}{111}+\dfrac{29}{17}-\dfrac{15}{59}\right).\left(\dfrac{3}{6}-\dfrac{2}{6}-\dfrac{1}{6}\right)\)
\(D=\left(\dfrac{3}{111}+\dfrac{29}{17}-\dfrac{15}{59}\right)\cdot\left(\dfrac{3-2-1}{6}\right)\)
\(D=\left(\dfrac{3}{111}+\dfrac{29}{17}-\dfrac{15}{59}\right)\cdot\dfrac{0}{6}\)
\(D=\left(\dfrac{3}{111}+\dfrac{29}{17}-\dfrac{15}{59}\right)\cdot0=0\)
phải là M<2/3 mới giải đc
\(M=\frac{1}{1+2+3}+\frac{1}{1+2+3+4}+...+\frac{1}{1+2+3+...+59}\)
\(=\frac{1}{\left(3+1\right).3:2}+\frac{1}{\left(4+1\right).4:2}+...+\frac{1}{\left(59+1\right).59:2}\)
\(=\frac{1}{6}+\frac{1}{10}+...+\frac{1}{1770}\)
\(=\frac{2}{12}+\frac{2}{20}+...+\frac{2}{3540}\)
\(=2\left(\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{595.60}\right)\)
\(=2\left(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{59}-\frac{1}{60}\right)\)
\(=2\left(\frac{1}{3}-\frac{1}{60}\right)\)
\(=\frac{2}{3}-\frac{2}{60}< \frac{2}{3}\)
C=(-1+3)+(-5+7)+....+(2011-2013)
= 2+2+2+...+(-2)
= 1004+(-2)
= 1002
D= (2-4)+(6-8)+....+(2010-2012)
= -2+-2+-2+...1002+...+-2
= -502+1002
= 500
G=(1+2-3-4)+(5+6-7-8)+...+(109+110-111-112)+(113+114+115)
= -4+-4+-4+...+-4+342
=-112+342
= 230
(67/111+2/33-15/117) . (1/3-1/4-1/12)
= (67/111+2/33-15/117) . 0
= 2836/5291 . 0
= 0
P=\(\left(1-\dfrac{1}{111}\right)\left(1-\dfrac{2}{111}\right)\times...\times\left(1-\dfrac{111}{111}\right)\times...\times\left(1-\dfrac{2009}{111}\right)\)
P=\(\left(1-\dfrac{1}{111}\right)\left(1-\dfrac{2}{111}\right)\times...\times0\times...\times\left(1-\dfrac{2009}{111}\right)\)
P=0