Question

Encontre o 7° na progressão geométrica:540,180,60,20,...

Answer 1

$> \: resolucao \\ \\ \geqslant \: progrecao \: \: geometrica \\ \\ q = \frac{a2}{a1} = \frac{180}{540} = \frac{1}{3} \\ \\ = = = = = = = = = = = = = \\ \\ > \: o \: 7 \: termo \: da \: pg \\ \\ an = a1 \times q {}^{n - 1} \\ an = 540 \times ( \frac{1}{3} ) {}^{7 - 1} \\ an = 540 \times ( \frac{1}{3} ) {}^{6} \\ an = 540 \times \frac{1}{729} \\ an = \frac{540 \div 27}{729 \div 27} \\ an = \frac{20}{27} \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \geqslant \geqslant$