Question

Calcule a soma:
A) S = 33 + 11 + 11/3 +...

B)S = 1 + 0,2 + 0,04 +...

Answer 1

Boa tarde 

essas sequencias sao das PG 

a) 

u1 = 33
u2 = 11
u3 = 11//3

q = u2/u1 = 11/33 = 1/3

soma infinita
Sn = u1/(1 - q)
Sn = 33/(1 - 1/3)
Sn = 33/(2/3) = 99/2 

b)

u1 = 1
u2 = 1/5
u3 = 1/25 

q = u2/u1 = (1/5)/1 = 1/5 

soma infinita 
Sn = u1/(1 - q)
Sn = 1/(1 - 1/5) = 1/(4/5) = 5/4