Tinh nhanh
1*2*3+2*3*4+3*4*5+...+29*30*31
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Câu 11:
(\(\dfrac{11}{4}\). \(\dfrac{-5}{9}\) - \(\dfrac{4}{9}\).\(\dfrac{11}{4}\)).\(\dfrac{8}{33}\)
= \(\dfrac{11}{4}\).(\(\dfrac{-5}{9}\) - \(\dfrac{4}{9}\)). \(\dfrac{8}{33}\)
= \(\dfrac{11}{4}\).(-1).\(\dfrac{8}{33}\)
= - \(\dfrac{2}{3}\)
1 + 2-3-4+5+6-7-8+9+...+28-29-30+31 + 32
= 1 + (2-3-4+5) + (6-7-8+9) + ...+(28-29-30+31) + 32
= 1 + 0+0+...+0+32
= 1+32
=33
1+2-3-4+5+6-7-8+9+...+28-29-30+31+32?
( 1 + 2 - 3 - 4 ) + ( 5 + 6 - 7 - 8 ) + ...... + ( 29 + 30 - 31 - 32 )
= 0 + 0 + ....+ 0
= 0
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a: \(=\dfrac{-5}{7}-\dfrac{2}{7}+\dfrac{3}{4}+\dfrac{1}{4}-\dfrac{1}{5}=-\dfrac{1}{5}\)
b: \(=\dfrac{-3}{31}-\dfrac{28}{31}+\dfrac{-6}{17}-\dfrac{11}{17}+\dfrac{1}{29}-\dfrac{1}{5}=\dfrac{-24}{145}\)
= 29 x 30 x 31 / 3
Tk mk nha