Question

Rút gọn biểu thức:

R=(1/2+1).(1/3+1).(1/4+1)....(1/98+1).(1/99+1)

Answer 1

R=3/2.4/3.5/4.......99/98.100/99

R=100/2=50

Answer 2

R = \(\left(\dfrac{1}{2}+1\right)\cdot\left(\dfrac{1}{3}+1\right)\cdot....\cdot\left(\dfrac{1}{99}+1\right)\)

R = \(\dfrac{3}{2}\cdot\dfrac{4}{3}\cdot....\cdot\dfrac{100}{99}\)

R = \(\dfrac{3\cdot4\cdot...\cdot100}{2\cdot3\cdot...\cdot99}\)

R = 50