Question

determine quantos termos tem a pg onde an=1944 q=3 e a1=8

Answer 1

$> resolucao \\ \\ \geqslant progressao \: geometrica \\ \\ an = 1944 \\ a1 = 8 \\ q = 3 \\ \\ an = a1 \times q {}^{n - 1} \\ 1944 = 8 \times 3 {}^{n - 1} \\ \frac{1944}{8} = 3 {}^{n - 1} \\ 243 = 3 {}^{n - 1} \\ 3 {}^{5} = 3 {}^{n - 1} \\ n - 1 = 5 \\ n = 5 + 1 \\ n = 6 \\ \\ resposta \: > \: pg \: de \: 6 \: termos \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \geqslant$