Question

1. tính bằng cách thuận tiện nhất

1/2 - 1/6 - 1/12 - 1/20 - 1/30

Answer 1

\(\frac{1}{2}-\frac{1}{6}-\frac{1}{12}-\frac{1}{20}-\frac{1}{30}=\frac{1}{1\cdot2}-\frac{1}{2\cdot3}-\frac{1}{3\cdot4}-\frac{1}{4\cdot5}-\frac{1}{5\cdot6}\)

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

\(=\frac{1}{1}-\frac{1}{6}=\frac{5}{6}\)

NHỚ K MK NHA. CHÚC BẠN HỌC TỐT

Answer 2

  1/2 - 1/6 - 1/12 - 1/20 - 1/30

=1/1x2 - 1/2x3- 1/3x4 - 1/4x5 - 1/5x6

=1-1/2 + 1/2-1/3 + 1/3-1/4 + 1/4-1/5 +1/5-1/6

=1-1/6

=5/6