В конечной геометрической прогрессии : а1; 0,72; а3; а4; 720; а6 известны некоторые члены Найдите неизвестные члены данной прогрессии.

{[latex]a_n[/latex]} - геометрическая прогрессия [latex]a_2=0.72[/latex] [latex]a_5=720[/latex] [latex]a_n=a_1* q^{n-1} [/latex] [latex]a_2=a_1*q[/latex] [latex]a_5=a_1*q^4[/latex] [latex] \left \{ {{a_1*q=0.72} \atop {a_1*q^4=720}} \right. [/latex] [latex] \left \{ {{a_1*q=0.72} \atop {a_1*q*q^3=720}} \right. [/latex] [latex]\left \{ {{a_1*q=0.72} \atop {0.72*q^3=720}} \right. [/latex] [latex]\left \{ {{a_1*q=0.72} \atop {q^3=1000}} \right. [/latex] [latex]\left \{ {{a_1*q=0.72} \atop {q=10}} \right. [/latex] [latex]\left \{ {{a_1*10=0.72} \atop {q=10}} \right. [/latex] [latex]\left \{ {{a_1=0.072} \atop {q=10}} \right. [/latex] [latex]a_3=a_2*q=0.72*10=7.2[/latex] [latex]a_4=a_3*q=7.2*10=72[/latex] [latex]a_6=a_5*q=720*10=7200[/latex] Ответ:  {[latex]0.072;0.72;7.2;72;720;7200[/latex]}