Question

найдите b1 и q для геометрической прогрессии bn у которой b2=8 b5=32

Answer 1

$b_2=8$
$b_5=32$
$b_1-$ ?
$q-$ ?

$b_n=b_1* q^{n-1}$
$b_2=b_1*q$
$b_5=b_1*q^4$

$left { {{b_1*q=8} atop {b_1*q^4=32}} right.$
$left { {{b_1*q=8} atop {b_1*q*q^3=32}} right.$
$left { {{b_1*q=8} atop {8*q^3=32}} right.$
$left { {{b_1*q=8} atop {q^3=4}} right.$
$left { {{b_1*q=8} atop {q= sqrt[3]{4} }} right.$
$left { {{b_1=8: sqrt[3]{4}} atop {q= sqrt[3]{4} }} right.$
$left { {{b_1= frac{8 sqrt[3]{4^2} }{ sqrt[3]{4^3} } } atop {q= sqrt[3]{4} }} right.$
$left { {{b_1= frac{8 sqrt[3]{16} }{4 } atop {q= sqrt[3]{4} }} right.$
$left { {{b_1={2 sqrt[3]{16} }{ } atop {q= sqrt[3]{4} }} right.$
$left { {{b_1={4 sqrt[3]{2} }{ } atop {q= sqrt[3]{4} }} right.$