Question

8. O décimo termo da progressão geométrica (-48,-24,-12, ...) é: a) - 6/32 b) - 3/32 c) - 3/64 d) 3/64 3/32 e)​

Answer 1

passo a passo no anexo :)

Answer 2

$> resolucao \\ \\ \geqslant progressao \: \: geometrica \\ \\ q = \frac{a2}{a1} \\ q = \frac{ - 24}{ - 48} \\ q = \frac{1}{2 } \\ \\ \\ \geqslant o \: decimo \: termo \: da \: pg \\ \\ \\ an = a1 \times q {}^{n - 1} \\ an = - 48 \times ( \frac{1}{2} ) {}^{10 - 1} \\ an = - 48 \times ( \frac{1}{2} ) {}^{9} \\ an = - 48 \times \frac{1}{512} \\ an = - \frac{48}{512} \\ an = - \frac{3}{32} \\ \\ \\ resposta \: > \: \: letra \: \: ( \: \: \: \: b \: \: \: ) \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant$