\(1.5*(1+2....+m-1)=1170.3\)
m=?
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870 - x : 11 x 87 = 261
x : 11 x 87 = 870 - 261
x : 11 x 87 = 609
x : 11 = 609 : 87
x : 11 = 7
x = 7 x 11
x = 77
x : 0.25 x 2.3 = 6.9
x : 0.25 = 6.9 : 2.3
x : 0.25 = 3
x = 3 x 0.25
x = 0.75
2 x (y + y) = 8.16
y + y = 8.16 : 2
y x 2 = 4.08
y = 4.08 : 2
y = 2.04
y x 1.5 + y + y x 7.5 = 59.8
y x (1.5 + 1 + 7.5) = 59.8
y x 10 = 59.8
y = 59.8 : 10
y = 5.98
m : 1/6 + m : 0.25 = 152
m : 1/6 + m : 1/4 = 152
m x 6 + m x 4 = 152
m x (6 + 4) = 152
m x 10 = 152
m = 152 : 10
m = 15.2
m : 1/3 + m : 0.25 = 1.4
m : 1/3 + m : 1/4 = 1.4
m x 3 + m x 4 = 1.4
m x (3 + 4) = 1.4
m x 7 = 1.4
m = 1.4 : 7
m = 0.2
\(\left(x+2,5\right)\) \(:2\dfrac{1}{2}\) \(-1,5\) \(=-1\dfrac{1}{4}\)
\(\left(x+\dfrac{5}{2}\right):\dfrac{5}{2}-\dfrac{3}{2}=-\dfrac{5}{4}\)
\(\left(x+\dfrac{5}{2}\right):\dfrac{5}{2}=\dfrac{1}{4}\)
\(x+\dfrac{5}{2}=\dfrac{5}{8}\)
\(\Rightarrow x=-\dfrac{15}{8}\)
Vậy \(x=-\dfrac{15}{8}\)
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M=1/4(4/1*5+8/5*13+...+16/25*41)
=1/4(1-1/5+1/5-1/13+...+1/25-1/41)
=40/41*1/4=10/41
\(N=\dfrac{1}{3}\left(1-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{16}+...+\dfrac{1}{43}-\dfrac{1}{61}\right)=\dfrac{1}{3}\cdot\dfrac{60}{61}=\dfrac{20}{61}\)
=>M<N