Question

Determine o 11º termo da P.G (2, 6, 18, 54...).

Answer 1

$> \: resolucao \\ \\ \geqslant \: progressao \: geometrica \\ \\ q = \frac{a2}{a1} = \frac{6}{2} = 3 \\ \\ = = = = = = = = = = = \\ \\ > \: o \: 11 \: termo \: da \: pg$

$an = a1 \times q {}^{n - 1} \\ an = 2 \times 3 {}^{11 - 1} \\ an = 2 \times 3 {}^{10} \\ an = 2 \times 59049 \\ an = 118098 \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant$