Hơi không hiểu đề câu A nha. ( ở cái chỗ mà ... + 2 )

C = 1 - 2 - 3 + 4 + ... + 297 - 298 - 299 + 300

C = (1 - 3) + (-2 + 4) +...+ (297 - 299) + (-298 + 300)

C = [-2 + 2] + ... + [(-2) + 2]

C = -0 + 0 +... + 0

C = 0

tổng bằng 50

Tất cả nó đều là1 nên tính một lát sẽ ra là 99 nha đầu cọng cuối k mình nha

Giải giùm tớ (-209)-401+12

a) \(\left(\frac{11}{12}+\frac{11}{12.23}+\frac{11}{23.34}+...+\frac{11}{89.100}\right)-x=\frac{2}{3}\)

\(\left(1-\frac{1}{12}+\frac{1}{12}-\frac{1}{23}+\frac{1}{23}-\frac{1}{34}+...+\frac{1}{89}-\frac{1}{100}\right)-x=\frac{2}{3}\)

\(\left(1-\frac{1}{100}\right)-x=\frac{2}{3}\)

\(\frac{99}{100}-x=\frac{2}{3}\)

\(x=\frac{99}{100}-\frac{2}{3}\)

\(x=\frac{97}{300}\)

b) \(\frac{x+1}{9}+\frac{x+3}{7}+\frac{x+5}{5}+\frac{x+7}{3}=a\)

\(\Rightarrow\frac{x+1}{9}+1+\frac{x+3}{7}+1+\frac{x+5}{5}+1+\frac{x+7}{3}+1=a+4\)

\(\frac{x+10}{9}+\frac{x+10}{7}+\frac{x+10}{5}+\frac{x+10}{3}=a+4\)

\(\left(x+10\right).\left(\frac{1}{9}+\frac{1}{7}+\frac{1}{5}+\frac{1}{3}\right)=a+4\)

\(a,\left(\frac{11}{12}+\frac{11}{12\cdot23}+\frac{11}{23\cdot34}+...+\frac{11}{89\cdot100}\right)-x=\frac{2}{3}\)

\(\Rightarrow\left(1-\frac{1}{12}+\frac{1}{12}-\frac{1}{23}+\frac{1}{23}-\frac{1}{34}+...+\frac{1}{89}-\frac{1}{100}\right)-x=\frac{2}{3}\)

\(\Rightarrow1-\frac{1}{100}-x=\frac{2}{3}\)

\(\Rightarrow\frac{99}{100}-x=\frac{2}{3}\)

\(\Rightarrow x=\frac{99}{100}-\frac{2}{3}\)

\(\Rightarrow x=\frac{97}{300}\)

b, k hiểu đề :v

a,

A=1−3−5−7−9−...−97−99a)A=1−3−5−7−9−...−97−99 

=1−(3+5+7+...+99)=1−(3+5+7+...+99)

=1−(99+3).[(99−3):2+1]2=1−(99+3).[(99−3):2+1]2
=1−2499=−2498=1−2499=−2498

b)B=1+3−5−7+9+...+97−99b)B=1+3−5−7+9+...+97−99
=(−8)+(−8)+(−8)+...+(−8)+97−99=(−8)+(−8)+(−8)+...+(−8)+97−99
=(−8).12+(−2)=−98=(−8).12+(−2)=−98

c)C=1−3−5+7+9−11−13+15+...+97−99c)C=1−3−5+7+9−11−13+15+...+97−99
=0+0+0+0+0+...+0−99=0+0+0+0+0+...+0−99
=−99

b) 1-3+5-7+9-11+......+2005-2007

=(1-3)+(5-7)+(9-11)+.....+(2005-2007)

=(-2)+(-2)+(-2)+......+(-2)

=(-2).1004

=(-2008)

c) 1+2+3-4-5-6+7+8+9-10-11-12+...+97+98+99-100-101-102

=(1+2+3-4-5-6)+(7+8+9-10-11-12)+.....+(97+98+99-100-101-102)

=(-9)+(-9)+....+(-9)

=(-9).17

=(-153)

Xin lỗi nha 2 dòng cuối mk làm sai 

b)1-3+5-7+9-11+......+2005-2007

=(1-3)+(5-7)+(9-11)+....+(2005-2007)

=(-2)+(-2)+(-2)+....+(-2)

=(-2).502

=(-1004)

6A=5.7.6+7.9.6+9.11.6+11.13.6+13.15.6+...+99.101.6

6A=5.7.(9-3)+7.9.(11-5)+9.11.(13-7)+11.13.(15-9)+13.15.(17-11)+...+99.101.(103-97)

6A=-3.5.7+5.7.9-5.7.9+7.9.11-7.9.11+9.11.13-9.11.13+11.13.15-11.13.15+13.15.17-...-97.99.101+99.101.103

6A=99.101.103-3.5.7 => A=(99.101.103-3.5.7)/6

5.7.11.13.37-10101/1212120+40404

=3.5.7.11.13.37-10101/1212120.1/10+40404 (vì 1/1212120=1/121212.1/10)

= 3.37.7.11.13.5-101010/121212.1/100+40404

=111.1001.5-5/6.1/100+40404

=151515.5-250/3

=595959-250/3

=1787876/3