Question

Insira 4 meios geométricos entre 8 e 1/4?

Answer 1

PG [8,..., 1/4]; a1=8; a6=1/4;
a6 = a1 * q^[6-1]
1/4 = 8 * q^5
1/4 : 8 = q^5
1/[4*8] = q^5
1/32 = q^5
q^5 = 1^5/2^5
q^5 = [1/2]^5
q = 5V[1/2]^5
q = 1/2
a2=8*1/2=4; a3=4*1/2=2; a4=2*1/2=1; a5=1*1/2=1/2;
PG [8, 4, 2, 1, 1/2, 1/4]