Question

A soma dos termos de uma P.G (1/2, 1/4, 1/8,...) é:

Answer 1

PG  INFINITA
a1 = 1/2
a2 = 1/4
q = 1/4 : 1/2 = 1/4 * 2/1 =  2/4 =  1/2 ***
Sn  = a1/ ( 1 - q ) 
Sn =   1/2 / ( 1/1 - 1/2)
Sn =  1/2 / ( 1/2)
Sn = 1/2 : 1/2 = 1/2 * 2/1 = 2/2 = 1 ***