Question

quantos termos tem a pg: (243,81,27,..,1/10)?

Answer 1

$> resolucao \\ \\ \geqslant progressao \: geometrica \\ \\ \\ > numero \: de \: termos \: da \: pg \: (243.81.27.... \frac{1}{9} ) \\ \\ > acredto \: que \: vc \: tenha \: digitado \: errado \\ \frac{1}{10} \: ao \: inves \: de \: \frac{1}{9} \\ \\ \\ = = = = = = = = = = = = = = = = = = = = = = = \\ \\ q = \frac{a2}{a1} \\ q = \frac{81}{243} \\ q = \frac{1}{3} \\ \\ \\ = = = = = = = = = = = = = = = = = = = = = \\ \\ an = a1 \times q {}^{n - 1} \\ \\ \frac{1}{9} = 243 \times ( \frac{1}{3} ) {}^{n - 1} \\ \\ \frac{ \frac{1}{9} }{243} = ( \frac{1}{3} ) {}^{n - 1} \\ \\ \frac{1}{9} \times \frac{1}{243} = ( \frac{1}{3} ) {}^{n - 1} \\ \\ \frac{1}{2187} = ( \frac{1}{3} ) {}^{n - 1} \\ \\ ( \frac{1}{3} ) {}^{7} = ( \frac{1}{3} ) {}^{n - 1} \\ \\ n - 1 = 7 \\ \\ n = 7 + 1 \\ \\ n = 8 \\ \\ \\ resposta \: > \: pg \: de \: 8 \: termos \\ \\ > < > < > < > < > < >$

Answer 2

Resposta:

oi

Explicação passo a passo:

oi