1.У геометричній прогресії b1 = 2; q = 3. Знайдіть b4.

а)27

б)81

в)54

г)162

2)У геометричній прогресії b1 = –162; q= –1/3. Знайдіть b4.

а)-6

б)-4

в)4

г)6

3.У геометричній прогресії b3 = 25; q = –0,5. Знайдіть b1.

а)-100

б)-0,01

в)-0,1

г)100

д)0,01

е)10

​

Задание: разложить на множители.
множители - компоненты при умножении ⇒выражение представляет собой произведение многочленов.
преобразовать данное выражение так, чтобы в каждом слагаемом были одинаковые множители.
1. m-n+p(m-n). 3-е слагаемое состоит из двух множителей р и (m-n), значит первое и  второе слагаемое группируем и записываем (m-n). необходимо представить в виде произведения двух множителей. один множитель (m-n), второй множитель в этом слагаемом может быть только 1. получаем:
m-n+p(m-n)=(m-n)*1+p*(m-n)=(m-n)*(1-p)

4q(p-1)+p-1=4q*(p-1)+(p-1)*1=(p-1)*(4q+1)

4q(p-1)+1-p=4q*(p-1)-1*(p-1)=(p-1)*(4q-1)

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