A xin lỗi mình viết sai đề để mình viết lại

(0,25 - 3/4) : 2/3 + (-1/2)^2

\(\left(0,25-\frac{3}{4}\right)\div\frac{2}{3}+\left(\frac{-1}{2}\right)^2\)²

\(=\left(\frac{1}{4}-\frac{3}{4}\right)\times\frac{3}{2}+\frac{1}{4}\)

\(=\frac{-1}{2}\times\frac{3}{2}+\frac{1}{4}\)

\(=\frac{-3}{4}+\frac{1}{4}\)

\(=\frac{-2}{4}=\frac{-1}{2}\)

\(S=1+2+2^2+2^3+...+2^{2020}+2^{2021}\)

\(=\left(1+2\right)+\left(2^2+2^3\right)+...+\left(2^{2020}+2^{2021}\right)\)

\(=3+2^2\left(1+2\right)+...+2^{2020}\left(1+2\right)\)

\(=3+2^2.3+...+2^{2020}.3⋮3\)

     VẬY \(S⋮3\)

Trả lời :...........................................

SCSH: (2021 - 1) : 1 = 2020

Tổng: (2021 + 1) : 2 = 1011

Hk tốt,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

k nhé

đề bài

\(s=1-2+2^2-2^3.....+2^{2020}\)

chúc bạn học tốt!

Nhầm đề hả bạn 

Bài 2:

Ta thấy: 5² > 4.5

6² > 5.6

7² > 6.7

     ....

2017² > 2016.2017

\(\Rightarrow\)\(\frac{1}{5^2}< \frac{1}{4.5}\)

\(\frac{1}{6^2}< \frac{1}{5.6}\)

\(\frac{1}{7^2}< \frac{1}{6.7}\)

....

\(\frac{1}{2017^2}< \frac{1}{2016.2017}\)

Cộng vế với nhau, ta có:

\(\frac{1}{5^2}+\frac{1}{6^2}+\frac{1}{7^2}+...+\frac{1}{2017^2}\) < \(\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+...+\frac{1}{2016.2017}\)

\(\Rightarrow\)A < \(\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{2016}-\frac{1}{2017}\)

\(\Rightarrow\)A < \(\frac{1}{4}-\frac{1}{2017}\)

\(\Rightarrow\)A < \(\frac{1}{4}\)( vì \(\frac{1}{2017}>0\))

k giúp mik ✅

Bài 1:

- 2 2/15 .3/8 - (7/20 - 75%) : 8/5

= -32/15.3/8 - (7/20 - 3/4) x 5/8

= - 4/5 - (7/20 - 15/20) x 5/8

= - 4/5 + 8/20 x 5/8

= - 4/5 + 1/4

= - 16/20 + 5/20

= - 11/20

Câu a:

A = 7 2/13 - (5 2/13 + 2 1/2)

A = 7 2/13 - 5 2/13 - 2 1/2

A = 2 - 2 1/2

A = 2 - 2 - 1/2

A = 0 - 1/2

A = -1/2

Câu b:

B = - 3/4 + 25% : (10 3/10 - 9 4/5) - (-1/2)^2

B = - 3/4 + 1/4 : (103/10 - 49/5) - 1/4

B = - 3/4 + 1/4 : (103/10 - 98/5) - 1/4

B = (-3/4 - 1/4) + 1/4 : (1/2)

B = -1 + 1/4 x 2/1

B = -1 + 1/2

B = - 1/2

Câu a:

A = 7 2/13 - (5 2/13 + 2 1/2)

A = 7 2/13 - 5 2/13 - 2 1/2

A = 2 - 2 1/2

A = 2 - 2 - 1/2

A = 0 - 1/2

A = -1/2

Câu b:

B = - 3/4 + 25% : (10 3/10 - 9 4/5) - (-1/2)^2

B = - 3/4 + 1/4 : (103/10 - 49/5) - 1/4

B = - 3/4 + 1/4 : (103/10 - 98/5) - 1/4

B = (-3/4 - 1/4) + 1/4 : (1/2)

B = -1 + 1/4 x 2/1

B = -1 + 1/2

B = - 1/2

Câu a:

7/10.4/9 + 3/10.4/9 - 1 7/9

= 4/9.(7/10 + 3/10) - 16/9

= 4/9 - 16/9

= - 12/9

= - 4/3

Câu b:

- 5/6 + 4/9.(5/4 - 2/3).(-3)^2 + 5/9.30%

= - 5/6 + [5/9 - 8/27].9 + 5/9.3/10

= - 5/6 + 5 - 8/3 + 1/6

= (-5/6 + 1/6) - 8/3 + 5

= - 4/6 - 8/3 + 15/3

= - 2/3 - 8/3 + 15/3

= - 10/3 + 15/3

= 5/3