Question

determine o termo geral da PG em que 

$a_{7} = 32 e q = 2$

Answer 1

$a_n=a_1.q^{n-1} \\ \\ a7=a_1.q^6 \\ \\ 32=a_1.2^6 \\ \\ 32=64a_1 \\ \\ a_1=\frac{1}{2} \\ \\ a_n=\frac{1}{2}.2^{n-1} \\ \\ a_n=2^{-1}.2^{n-1} \\ \\ a_n=2^{-1+n-1} \\ \\ \boxed{a_n=2^{n-2}}$