Question

Em uma PG de termos reais calcule a razão dados a1 =6.a7=4374

Answer 1

$a_{1} =6\\ a_{n} = a_{7} =4374\\ n=7\\ q=?\\\\\\ a_{n} = a_{1} * q^{n-1} \\\\\\ 4374= 6 * q^{7-1}\to \\\\ 4374= 6 * q^{6}\to \\\\ \frac{4374}{6}= q^{6}\to\\\\ q^{6} =729\to \\\\ 3^6=q^{6}\to \\\\ q=3$