Question

Calcule a soma dos termos da P.G (2^(-2),2^(-4),2^(-6),……..)

Answer 1

a1 =  ( 1/2)² = 1/4
a2 = (1/2)⁴ = 1/16
a3 = ( 1/2)⁶ = 1/64
q = 1/16 : 1/4 = 1/16 * 4/1 = 4/16 = 1/4 ****
PG  INFINITA
S = a1 / ( 1 - q)
S =  1/4 /( 1/1 - 1/4)
S = 1/4 /( 3/4 )
S = 1/4 : 3/4 = 1/4 * 4/3 = 4/12 = 1/3 ***