Question

Ket qua cua tong: A = 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 = ............

Ai giai nhanh nhat va ghi ro cach lam ra ( ko ghi ....... ) thi minh se tick cho nha, minh dang can gap^^^

 

Answer 1

TA CÓ:\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}\)

\(=\frac{1}{2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}\)

\(=\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}\)

\(=\frac{1}{2}+\frac{1}{2}-\frac{1}{8}\)

\(=1-\frac{1}{8}=\frac{7}{8}\)

Answer 2

 A = 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 = 7/8

Answer 3

= 6/12 + 2/12 + 1/12 + 3/60 + 2/60 + 8/336 + 6/336

= 9/12 + 5/60 + 14/336

= 5/6 + 1/24 = 7/8