Question

determine o quarto termo da p.g. (3/2; 2/3; ....)

se poder me explicar como faz eu fico agradecido ​

Answer 1

$> resolucao \\ \\ \geqslant progressao \: geometrica \\ \\ q = \frac{a2}{a1} \\ \\ q = \frac{ \frac{2}{3} }{ \frac{3}{2} } \\ \\ q = \frac{2}{3} \times \frac{2}{3} \\ \\ q = \frac{4}{9} \\ \\ \\ \geqslant \: o \: quarto \: termo \: da \: pg \\ \\ \\ an = a1 \times q {}^{n - 1} \\ \\ an = \frac{3}{2} \times ( \frac{4}{9} ) {}^{4 - 1} \\ \\ an = \frac{3}{2} \times ( \frac{4}{9} ) {}^{3} \\ \\ an = \frac{3}{2} \times \frac{64}{729} \\ \\ an = \frac{192 \div 6}{1458 \div 6} \\ \\ an = \frac{32}{243} \\ \\ \\ > < > < > < > < > < > < > < > < > > >$