Explicație pas cu pas:
1.
a)
1/2 x 2/3 x 3/4 x 4/5 × 5/6 = 1/6
b)
1/2 x 4/3 x 9/4 x 16/5 x 25/6 = 1/2 x 3 x 16 x 5/6 =
8 x 5/2 = 20
c)
3/2 x 2/3 = 1
Răspuns:
a)1/2*2/3*3/4*4/5*5/6 = 1/6
b) 1/2*2^2/3*3^2/4*4^2/5*5^2/6 =
1*2*3*4*5/6 = 120/6 = 20
c) 3/2 *2/3 = 1
d) 3/2*4/3*5/4*...*100/99*101/100 =
1/2*101/1 = 101/2
e) 1/2*2/3*3/4*...*98/99*99/100 =
1/100
