Question

Numa P.G. Calcule a razão q sabendo que a6=1/32 e a1=1

Answer 1

$a_1=1 \\ a_6= \frac{1}{32} = \frac{1}{2^5}=2^{-5} \\ n=6 \\ q=? \\ \\ a_n=a_1.q^{n-1} \\ \\ 2^{-5}=1.q^{6-1} \\ 2^{-5}=q^5 \\ \sqrt[5]{2^{-5}}=q=2^{-1}= \frac{1}{2}$