Question

3/5*8 + 3/8*11 + 3/11*14 +....+3/119*122

Answer 1

(Dấu . là dấu nhân)
\(\dfrac{3}{5.8}+\dfrac{3}{8.11}+\dfrac{3}{11.14}+...+\dfrac{3}{119.122}\)
\(=\dfrac{1}{5}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{14}+...+\dfrac{1}{119}-\dfrac{1}{122}\)
\(=\dfrac{1}{5}-\dfrac{1}{122}\)
\(=\dfrac{122}{610}-\dfrac{5}{610}\)
\(=\dfrac{117}{610}\)

#Sahara

Answer 2

\(\dfrac{3}{5.8}+\dfrac{3}{8.11}+\dfrac{3}{11.14}+.....+\dfrac{3}{119.122}\)

\(=\dfrac{1}{5}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{14}+......+\dfrac{1}{119}-\dfrac{1}{122}\)

\(=\dfrac{1}{5}-\dfrac{1}{122}=\dfrac{122-5}{610}=\dfrac{117}{610}\)