Question

ajutor plz repedeewwwe c ​

Answer 1

Răspuns:

Explicație pas cu pas:

6 + 12 + 18 + 24 + ... + 600 = 6*(1 + 2 + 3 + 4 + ... + 100)

= 6*100*101/2 = 3*100*101 = 300*101

3 + 6 + 9 + 12 + ... + 300 = 3*(1 + 2 + 3 + 4 + ... + 100)

= 3*100*101/2 = 3*50*101 = 150*101

1 + 2 + 3 + ... + 100 = 100*101/2 = 50*101

_____________

(300*101)^2 = 300*300*101*101

300*300*101*101 : 150*101 = 300*2*101 = 600*101

600*101 : 50*101 = 12

Answer 2

Răspuns:

12

Explicație pas cu pas:

f)

${(6 + 12 + 18 + 24 + ... + 600)}^{2} : (3 + 6 + 9 + 12 + ... + 300) : (1 + 2 + 3 + ... + 100) =$

$= { \Big[6 \cdot\Big(\underbrace{1 + 2 + 3 + ... + 100}_{S}\Big)\Big]}^{2} : \Big[3 \cdot \Big(\underbrace{1 + 2 + 3 + ... + 100}_{S}\Big)\Big] : \Big(\underbrace{1 + 2 + 3 + ... + 100}_{S}\Big)$

$= 36 {S}^{2} : (3S) : S = 36 {S}^{2} : (3S \cdot S)$

$= 36 {S}^{2} : (3 {S}^{2}) = 36 : 3 = \bf 12$