3/5 A = 3/3.6 + 3/6.9 +..... + 3/96.99 

         = 1/3 - 1/6 + 1/6 - 1/9 + .... + 1/96 - 1/99 = 1/3 - 1/99 = 32/99

=> A = 160/297

k mk nha

Day ma la toan lop 5 a

a,6B=2.4.6+4.6.(8-2)+...............+98.100.(102-96)

6B=2.4.6+4.6.8-2.4.6+..............+98.100.102-96.98.100

6B=98.100.102

B=98.100.102:6

B=166600

\(N=\dfrac{2}{3.6}+\dfrac{2}{6.9}+...+\dfrac{2}{2019.2022}\)

\(\Rightarrow N=2\left(\dfrac{1}{3.6}+\dfrac{1}{6.9}+...+\dfrac{1}{2019.2022}\right)\)

\(\Rightarrow N=\dfrac{2}{3}\left(\dfrac{3}{3.6}+\dfrac{3}{6.9}+...+\dfrac{3}{2019.2022}\right)\)

\(\Rightarrow N=\dfrac{2}{3}\left(\dfrac{1}{3}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{9}+...+\dfrac{1}{2019}-\dfrac{1}{2022}\right)\)

\(\Rightarrow N=\dfrac{2}{3}\left(\dfrac{1}{3}-\dfrac{1}{2022}\right)\)

\(\Rightarrow N=\dfrac{2}{3}.\dfrac{673}{2022}\\ \Rightarrow N=\dfrac{673}{3033}\)

\(=\dfrac{1}{3}\left(\dfrac{1}{3}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{9}+...+\dfrac{1}{15}-\dfrac{1}{18}\right)\)

\(=\dfrac{1}{3}\left(\dfrac{1}{3}-\dfrac{1}{18}\right)=\dfrac{1}{3}\cdot\dfrac{5}{18}=\dfrac{5}{54}\)

\(\dfrac{5}{54}\)

mình chẳng biết

Số số hạng là :

(159 - 6) : 3 + 1 = 52 (số hạng)

Số số hạng là :

(159 - 6) : 3 + 1 = 52 (số hạng)

\(S=\frac{1}{3.6}+\frac{1}{6.9}+...+\frac{1}{219.222}\)

\(\Rightarrow3S=\frac{3}{3.6}+\frac{3}{6.9}+...+\frac{3}{219.222}\)

\(=\frac{1}{3}-\frac{1}{6}+\frac{1}{6}-\frac{1}{9}+...+\frac{1}{219}-\frac{1}{222}\)

\(=\frac{1}{3}-\frac{1}{222}< \frac{1}{3}\)

\(\Rightarrow S< \frac{1}{9}< 1\)

\(\Rightarrow S< 1\left(đpcm\right)\)

mình k biết 

Số số hạng là:(159-6):3+1=52(số hạng)