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97 x 99
= 97 x (100 - 1)
= 97 x 100 - 97
= 9700 - 97
= 9603
a) 97x99
=(99-2)x99
=99x99-2x99
=9801-198
=9603.
K nhé các bạn ơi.
![](https://rs.olm.vn/images/avt/0.png?1311)
\(97.99\\ =97.\left(100-1\right)\\ =9700-97\\ =9603.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
đề :
= 1/100 - (1 / 100.99 +1/99.98 + ...+ 1/3.2 +1/2.1 )
=1/100 - (1 /1.2 +1/ 2.3 +...+ 1/ 98.99 +1 / 99.100)
=1/100 -( 1- 1/ 2 +1/2 -1/3 +...+1/98 -1/99 +1/99 -1/100)
=1/100 - ( 1- 1/100)
=1/100 - 99 /100
= -98/100
= -49 /50
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1}{3}+\frac{13}{15}+\frac{33}{35}+\frac{61}{63}+\frac{97}{99}+\frac{141}{143}\)
\(=\left(1-\frac{2}{3}\right)+\left(1-\frac{2}{15}\right)+\left(1-\frac{2}{35}\right)+\left(1-\frac{2}{63}\right)+\left(1-\frac{2}{99}\right)+\left(1-\frac{2}{143}\right)\)
\(=\left(1+1+1+1+1+1\right)-\left(\frac{2}{3}+\frac{2}{15}+\frac{2}{35}+\frac{2}{63}+\frac{2}{99}+\frac{2}{143}\right)\)
\(=6-\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}+\frac{2}{11.13}\right)\)
\(=6-\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}+\frac{1}{11}-\frac{1}{13}\right)\)
\(=6-\left(1-\frac{1}{13}\right)\)
\(=6-\frac{12}{13}\)
\(=\frac{66}{13}\)
Ủng hộ mk nha ^_-
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=20\times21+21\times22+...+99\times100\)
\(3\times A=20\times21\times\left(22-19\right)+21\times22\times\left(23-20\right)+...+99\times100\times\left(101-98\right)\)
\(=20\times21\times22-19\times20\times21+...+99\times100\times101-98\times99\times100\)
\(=99\times100\times101-19\times20\times21\)
Suy ra \(A=\frac{99\times100\times101-19\times20\times21}{3}=360640\)
\(B=3\times4\times5+4\times5\times6+...+98\times99\times100\)
\(4\times B=3\times4\times5\times\left(6-2\right)+4\times5\times6\times\left(7-3\right)+...+98\times99\times100\times\left(101-97\right)\)
\(=3\times4\times5\times6-2\times3\times4\times5+...+98\times99\times100\times101-97\times98\times99\times100\)
\(=98\times99\times100\times101-2\times3\times4\times5\)
Suy ra \(B=\frac{98\times99\times100\times101-2\times3\times4\times5}{4}=24497520\)
![](https://rs.olm.vn/images/avt/0.png?1311)
S=7+9+11+...+99
S=(99+7)*{(99-7):2+1}:2
S=106*47:2
S=2491
Số thứ 33 là:
(33-1)*2+7=71
Vậy số thứ 33 là 71
Ai t.i.c.k cho mk may mắn cả tuần
Mk t.i.c.k lại cho
![](https://rs.olm.vn/images/avt/0.png?1311)
-1 + 3 - 5 + 7 - ... + 97 - 99
=−(1+5+9+...+97)+(3+7+..+99)
=−1225+1275
= 50
kết quả:3300 nha bn iu
33 x 97 + 99
= 33 x 97 + 33 x 3
= 33 x (97 + 3)
= 33 x 100
= 3300