Question

qual é a soma dos infinitos termo PG?como 1+1/2+1/4+1/8+1/16...responta valendo 25pts.

Answer 1

teromos da PG : a1=1 , a2=1/2 , a3=1/4 ...
razão : q=a2/a1 => q=1/2/1 => q=1/2
soma de PG infinita:
Sn=a1/(1-q)
Sn=1/(1-1/2)
Sn=1/(2-1)/2
Sn=1/1/2
Sn=2