Question

Entre os numeros 1024 e b foram inseridos 5 termos geometricos, o b tendo-se uma p. G. De razao 1/2. Qual e o valor de b

Answer 1

$> resolucao \\ \\ \geqslant progressao \: \: geometrica \\ \\ \\ an = a1 \times q {}^{n - 1} \\ b = 1024 \times ( \frac{1}{2} ) {}^{7 - 1} \\ b = 1024 \times ( \frac{1}{2} ) {}^{6} \\ b = 1024 \times \frac{1}{64} \\ b = \frac{1024}{64} \\ b = 16 \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \geqslant \geqslant \geqslant$