Question

Ex:6,7 dau coroana și 5 puncte​

Answer 1

Răspuns:

Explicație pas cu pas:

6.

17/5 = 3 2/5

3 < 17/5 < 4

_____________

37/7 = 5 2/7

5 < 37/7 < 6

_____________

(3n + 1)/n = 3n/n + 1/n = 3 + 1/n = 3  1/n

3 < (3n + 1)/n < 4

______________

(5n + 7)/(n + 1) = (5n + 5 + 2)/(n + 1) = (5n + 5)/(n + 1) + 2/(n + 1)

= 5(n + 1)/(n + 1) + 2/(n + 1) = 5 + 2/(n + 1) = 5  2/(n + 1)

5 < (5n + 7)/(n + 1) < 6

___________________________

7.

17  1/3 = (17 x 3 + 1)/3 = 52/3

4  11/17 = (4 x 17 + 11)/17 = 79/17

n 2/3 = (n x 3 + 2)/3 = (3n + 2)/3

2 1/n = (2 x n + 1)/n = (2n + 1)/n