.

a1.q^(n-1) = an........=> q=3/3√2 =1/√2

q^(n-1) = an / a1

(1/√2)^(n-1) = 3√2/16 / 3√2

(1/√2)^(n-1) = 3√2/16 . 1/3√2

(1/2¹/²)^(n-1) = 1/16

1/2^ (n/2 -1/2) = 1/2^ (4)

n/2 -1/2 = 4

n/2 = 4 +1/2

n/2 = 8/2 +1/2

n/2 = 9/2

n = 9 termos #