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Ta có 4+16+36+64+...+10000
=22+42+62+82+...+1002
Ta có công thức tổng quát
22+42+62+...+(2n)2=2n(n+1)(2n+1)6\frac{2n\left(n+1\right)\left(2n+1\right)}{6}62n(n+1)(2n+1)
Ta có 100=2x50
Vậy 22+42+62+82+...+1002=4+16+36+64+...+10000=2x50x(50+1)(2x50+1)6=2x50x51x1016=85850\frac{2x50x\left(50+1\right)\left(2x50+1\right)}{6}=\frac{2x50x51x101}{6}=8585062x50x(50+1)(2x50+1)=62x50x51x101=85850
59 + 64 = 36 + 63 + 59 _Sai_
129 + 157 - 29 =129 - 29 + 157 _Đúng_
129 + 157 - 29 = 157 + 129 - 29 _Đúng_
4 +16 x 25 = 16 + 4 x 25 _Sai_
21 + 49 : 7 = 49 + 21 : 7 _Sai_
(36 + 45 ) : 9 = (45+36 ) : 9 _Đúng_
(Cái này tính nhẩm là ra thôi bạn ạ! Đúng cho mình 1 tick nhé bạn!)
\(\frac{4}{3}\times\frac{9}{8}\times...\times\frac{81}{80}=\frac{2^2}{1\times3}\times\frac{3^2}{2\times4}\times...\times\frac{9^2}{8\times10}\)
\(=\frac{2\times3\times4\times...\times9}{1\times2\times3\times...\times8}\times\frac{2\times3\times4\times...\times9}{3\times4\times5\times...\times10}\\ =\frac{9}{1}\times\frac{2}{10}=\frac{9}{5}\)
4/3.9/8.16/15.25/24.36/35.49/48.64/63.81/80
=3/2.16/15.25/24.36/35.49/48.64/63.81/80
=5/3.36/35.49/48.64/63.81/80
=7/4.64/63.81/80
=9/5
+
18 x 38 + 16 x 76 -1 = ( 36 x 19 + 64 x 20 - 65 ) x X
( 36x 19 + 64 x 20 - 65 ) x X = 18x 38 + 16x 76 -1
1899 x X = 1899
X = 1899 / 1899
X = 1
18x38+16x76-1=[36x19+64x20-65]xX
[36x19+64x20-65]xX=18x38+16x76-1
1899xX=1899
x=1899/1899
x=1
1/10 + 4/20 + 9/30 + 16/40 + 25/50 + 36/60 + 49/70 + 64/80 + 81/90
= 1/10 + 2/10 + 3/10 + 4/10 + 5/10 + 6/10 + 7/10 + 8/10 + 9/10
=(1+2+3+....+9) /10
=(1+9)x9:2 /10
=45/10=4,5
chắc chắn đúng đó
=(1-1/2)(1+1/2)*...*(1+1/10)(1-1/10)
=1/2*2/3*...*9/10*3/2*4/3*...*11/10
=1/10*11/2
=11/20
36/11 x 22/17 x 51/72
= 36 x 22 x 51/11 x 17 x 72
= 36 x 2 x 11 x 17 x 3/11 x 17 x 36 x 2
= 3
22/16 x 64/55 x 27/13
= 22 x 64 x 27/16 x 55 x 13
=2 x 11 x 16 x 4 x 27/16 x 5 x 11 x 13
= 216/65
36 x 48/12 x 24 + 18 x 104/36 x 4
= 12 x 3 x 2 x 24/12 x 24 + 18 x 13 x 2 x 4/ 18 x 2 x 4
= 6 + 13
= 19
=