Question

В геометрической  прогрессии а1 = $72sqrt{2}$; а3 = $8sqrt{2}$. Найдите знаменатель q.

Answer 1

$a_1=72sqrt2;\ a_3=8sqrt2;\ a_n=a_1cdot q^{n-1};\ a_3=a_1cdot q^{3-1}=a_1cdot q^2;\ q^2=frac{a_2}{a_1}=frac{8sqrt2}{72sqrt2}=frac19;\ q=pmfrac13$

Answer 2

q= 1/3