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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:

Explicație pas cu pas:

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