Question

13. Em uma PG o al = 3/25 e a6=- 375. Qual a razão: a) 5/3 b) -5/3 c) - 5 d) 5 4/3 e)​

Answer 1

Explicação passo-a-passo:

a1 = 3/25; q = ?; n = 6; an = -375

-375 = 3/25 . q⁶-¹

-375 = 3/25 . q⁵

-375/ 3/25 = q⁵

-3125 = q⁵

⁵V-3125 = q

q = -5

Answer 2

$> resolucao \\ \\ \geqslant progressao \: \: geometrica \\ \\ a6 = a1 \times q {}^{5} \\ \\ -375 = \frac{3}{25} \times q {}^{5} \\ \\ \frac{-375}{ \frac{3}{25} } = q {}^{5} \\ \\ -375 \times \frac{25}{3} = q {}^{5} \\ \\ \frac{-9375}{3} = q {}^{5} \\ \\ -3125 = q {}^{5} \\ \\ -5 {}^{5} = q {}^{5} \\ \\ q = -5 \\ \\ \\ resposta \: > \: letra \: ( \: \: \: c \: \: \: ) \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \geqslant$